關於 borsuk-ulam theorem ，我們在網路上蒐集到這些相關的討論、資訊與評價

#11. (PDF) A Borsuk-Ulam theorem for digital images - ResearchGate

2022年7月5日 — PDF | The Borsuk-Ulam theorem states that a continuous function $f:S^n \to \R^n$ has a point $x\in S^n$ with $f(x)=f(-x)$.

#12. Twitter 上的Fermat's Library："A consequence of the Borsuk ...

A consequence of the Borsuk-Ulam theorem is that there are always two antipodal points on earth with the same pressure and temperature.

#13. On Theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobo and ...

BORSUK -ULAM'S THEOREM [1].2 A map (= continuous function) of an n-sphere into the euclidean n-space maps some pair of antipodal points into a single point.

#14. On the existence of Borsuk-Ulam theorems - ScienceDirect

A Borsuk-Ulam theorem for the finite group G consists of finding a function b: N → N with b(n)→ ∞ as n→ ∞ and such that the existence of a G-map SV→SW ...

#15. On the Borsuk-Ulam theorem for $Z\sb{p\spa ... - Project Euclid

1970 On the Borsuk-Ulam theorem for Zp\spa Z p \spa actions on S2n−1 S 2 n − 1 and maps S2n−1→R\spm S 2 n − 1 → R \spm.

#16. some generalizations of the borsuk-ulam theorem

involution and Rn the n-dimensional euclidean space. The famous Borsuk-. Ulam Theorem states that, if f : Sn → Rn is any continuous map, then there.

#17. a new and constructive proof of the borsuk-ulam theorem

The Borsuk-Ulam Theorem [1] states that if / is a continuous function from the /i-sphere to /t-space (/: S" —> R") then the equation f(x) = f(-x).

#18. BORSUK-ULAM THEOREM AND APPLICATIONS

BORSUK -ULAM THEOREM AND APPLICATIONS. OLGA RADKO MATH CIRCLE. ADVANCED 3. JANUARY 17, 2021. Crawl before you walk. Functions are fun, but they can be wild.

#19. Equivalent Formulations of the Borsuk-Ulam Theorem

Equivalent Formulations of the Borsuk-Ulam Theorem - Volume 18. ... In 1933 K. Borsuk published proofs of the following two theorems (2, p. 178).

#20. 1 The Borsuk-Ulam theorem

A consequence of the Borsuk-Ulam theorem is the Brouwer fixed point theorem which says that any continuous mapping f : Dn → Dn from the n-dimensional unit disc ...

#21. Borsuk-Ulam Theorem and Maximal Antipodal Sets of ...

Keywords: Borsuk-Ulam theorem; maximal antipodal set; continuous function; 2-number; compact symmetric space.

#22. Borsuk-Ulam theorem in infinite-dimensional Banach spaces

The well-known classical Borsuk-Ulam theorem has a broad range of applications to various problems. Its generalization to infinite-dimensional spaces runs ...

#23. "Noncommutative Borsuk-Ulam Theorems" by Benjamin Passer

The Borsuk-Ulam theorem in algebraic topology shows that there are significant restrictions on how any topological sphere interacts with the antipodal ...

#24. The Borsuk-Ulam Theorem - Sciendo

The Borsuk-Ulam Theorem. Artur Korniłowicz and. Artur Korniłowicz and. Marco Riccardi. Marco Riccardi. Published Online: 01 Feb 2013.

#25. Some applications of the Borsuk-Ulam Theorem

The Borsuk-Ulam theorem with various generalizations and many proofs is one of the most useful theorems in algebraic topology.

#26. Borsuk-Ulam theorem - The Worlds of David Darling

The Borsuk-Ulam theorem is one of the most important and profound statements in topology: if there are n regions in n-dimensional space, then there is some ...

#27. Borsuk–Ulam Theorem and Applications - People

The Borsuk–Ulam theorem from algebraic topology states that for every con- tinuous function from the n-dimensional unit sphere to the (n + 1)-dimensional.

#28. The Borsuk–Ulam theorem | Scientific Gems

The mathematical tidbit for today is the Borsuk–Ulam theorem, which states that every continuous function f from the n-dimensional sphere to ...

#29. The Borsuk-Ulam theorem for surfaces - Taylor & Francis Online

We say that the Borsuk-Ulam theorem holds for (S, T) with respect to R 2 if for any map f : S → R 2 there is a point x ∊ S such that f(x) ...

#30. Strong Approximate Consensus Halving and the Borsuk-Ulam ...

The existence of a solution may be established by the Borsuk-Ulam theorem. We consider the task of computing an approximation of an exact ...

#31. Borsuk-Ulam Theorem -- from Wolfram MathWorld

Borsuk -Ulam Theorem. Every continuous map f:S^n->R^n must identify a pair of antipodal points.

#32. The Borsuk-Ulam theorem for maps into a surface

If S is different from the 2-sphere S^2 and the real projective plane RP^2, then we show that the Borsuk-Ulam property does not hold for (X, t, ...

#33. The Borsuk-Ulam Theorem and Bisection of Necklaces

The Borsuk-Ulam theorem of topology is applied to a problem in discrete mathematics. A bisection of a necklace with k colors of beads is a collection of ...

#34. A Non-standard Version of the Borsuk-Ulam Theorem - EuDML

Carlos Biasi, and Denise de Mattos. "A Non-standard Version of the Borsuk-Ulam Theorem." Bulletin of the Polish Academy of Sciences.

#35. Borsuk-Ulam theorem - Encyclopedia of Mathematics

In the Borsuk–Ulam theorem (K. Borsuk, 1933 [a2]), topological and symmetry properties are used for coincidence assertions for mappings ...

#36. Using the Borsuk-Ulam Theorem: Lectures on Topological ...

Buy Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext) on Amazon.com ✓ FREE SHIPPING on qualified ...

#37. 1 THE BORSUK-ULAM THEOREM - viXra.org

The Borsuk-Ulam Theorem (BUT) states that a single point, if embedded in one spatial dimension higher, gives rise to two antipodal points with matching ...

#38. Egg Math: the Borsuk-Ulam Theorem

The Borsuk-Ulam theorem in general dimensions can be stated in a number of ways but always deals with a map d from sphere to sphere or from sphere to ...

#39. 2. The Borsuk–Ulam Theorem - NET

The Borsuk–Ulam theorem is one of the most useful tools offered by elemen- tary algebraic topology to the outside world. Here are four reasons why this.

#40. Topological methods 1 The Borsuk-Ulam theorem 2 Kneser ...

1 The Borsuk-Ulam theorem. We have seen how combinatorics borrows from probability theory. Another area which has been very beneficial to combinatorics, ...

#41. Using the Borsuk-Ulam theorem

Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Jiri Matousek. with the collaboration of Anders Bjorner and ...

#42. Buy Using the Borsuk-Ulam Theorem by Matousek Jiri at Low ...

Using the Borsuk-Ulam Theorem by Matousek Jiri from Flipkart.com. Only Genuine Products. 30 Day Replacement Guarantee. Free Shipping. Cash On Delivery!

#43. Generalised Mycielski Graphs and the Borsuk–Ulam Theorem

Stiebitz determined the chromatic number of generalised Mycielski graphs using the topological method of Lovász, which invokes the Borsuk–Ulam ...

#44. The Borsuk-Ulam theorem for 3-manifolds | Papers With Code

We study the Borsuk-Ulam theorem for triple (M;\tau; \R^n), where M is a compact, connected, 3-manifold equipped with a fixed-point-free ...

#45. A Borsuk-Ulam type theorem for a product of spheres - CORE

result. Thus, Dold has parametrized Yang's generalisation [93 of the classical Borsuk-. Ulam theorem for maps of spheres into Euclidean spaces.

#46. G T ] 5 O ct 2 00 5 A Borsuk-Ulam theorem for ( Z p ) k-actions ...

It is proved that for a product action of (Zp) on a product of (mod p) homology spheres N1×...×Nk , where all ni's are assumed to be odd if p is odd, ...

#47. A. Yu. Volovikov, “A generalization of the Borsuk–Ulam ...

A generalization of the Borsuk–Ulam theorem ... Volovikov, “Two theorems from the theory of periodic transformations”, Sb. Math., 38:1 (1981), ...

#48. The Borsuk-Ulam theorem in combinatorics and geometry

Abstract The classical Borsuk-Ulam theorem has numerous consequences across mathematics. It states that any continuous map from an n-sphere to R^n must ...

#49. Pavle Blagojević · Beyond the Borsuk–Ulam theorem

Beyond the Borsuk–Ulam theorem: The topological Tverberg story Bárány's "topological Tverberg conjecture'' from 1976 states that any ...

#50. Some Combinatorial and Algorithmic Applications of the ...

Abstract. The Borsuk-Ulam theorem has many applications in algebraic topology, al- gebraic geomtry, and combinatorics.

#51. Using the Borsuk-Ulam Theorem:Lectures on Topological ...

This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem ...

#52. Using the Borsuk-Ulam Theorem: Lectures on Topological ...

This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem ...

#53. Original proof of the Borsuk-Ulam theorem - MathOverflow

According to (Matoušek 2003, p. 25), the first historical mention of the statement of this theorem appears in (Lyusternik 1930). The first proof ...

#54. Borsuk–Ulam theorem for filtered spaces - De Gruyter

To achieve Borsuk–Ulam-type theorems, in several results that appear ... One formulation of the Borsuk–Ulam Theorem [3] is that there is no ...

#55. The Borsuk-Ulam Theorem and bisection of necklaces (1986)

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The Borsuk-Ulam theorem of topology is applied to a problem in discrete ...

#56. Geometric proof and applications of the Borsuk-Ulam theorem

There are many different kinds of proofs to the Borsuk-Ulam theorem and nowadays the standard method of proof uses heavy algebraic topology. In this thesis a ...

#57. Computing Exact Solutions of Consensus Halving and the ...

and the Borsuk-Ulam Theorem. Argyrios Deligkas. Department of Computer Science, University of Liverpool, Liverpool, UK. Leverhulme Research Centre for ...

#58. The Borsuk-Ulam Theorem

I give a proof of the Borsuk-Ulam Theorem which I claim is a simplified version of the proof given in Bredon [1], using chain complexes ...

#59. Digital Borsuk-Ulam theorem

... ringand algebra structures of a digital cohomology with the cup product. Finally, we prove a special case of the Borsuk-Ulam theorem fordigital images.

#60. A GENERALIZATION OF THE BORSUK-ULAM THEOREM

The classical Borsuk-Ulam Theorem states that if/: S" -> R" is any continuous map, then f(x) =f(—x) for some xeS". Various generalizations of this result ...

#61. Lecture 17: The Borsuk-Ulam Theorem

Today we discuss the Borsuk-Ulam Theorem. One of the reasons the theorem is so powerful is that it has many different convenient guises.

#62. Using the Borsuk-Ulam Theorem: Lectures on Topological ...

Using the Borsuk-Ulam Theorem book. Read reviews from world's largest community for readers. A number of important results in combinatorics, discrete geo...

#63. The Borsuk-Ulam Theorem & Applications to Sphere Problems

Construct a coloring that uses k colors. Prove there is no coloring which uses only k − 1 colors. Ryan C Platt. Borsuk-Ulam & Applications. Page 10. Describing ...

#64. Tverberg partitions and Borsuk--Ulam theorems

TVERBERG PARTITIONS AND BORSUK–ULAM. THEOREMS. K.S. Sarkaria. An N-dimensional real representation E of a finite group. G is said to have the “Borsuk–Ulam ...

#65. Using the Borsuk-Ulam Theorem: Lectures ... - Barnes & Noble

This book is the first textbook treatment of a significant part of these results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem ...

#66. Borsuk-Ulam Theorem - ProofWiki

Borsuk -Ulam Theorem. From ProofWiki ... Theorem. Let n be a positive integer. ... This theorem requires a proof.

#67. Isovariant maps and the Borsuk-Ulam theorem

The classical Borsuk-Ulan theorem asserts that if a continuous map from n to m commutes with the antipodal map and sends only the origin to the ...

#68. The Borsuk-Ulam Theorem - IITB Math

There is no continuous, antipode preserving map from a sphere to a circle. Ketan Sutar (IIT Bombay). The Borsuk-Ulam Theorem. 2nd Nov. 2020.

#69. A classic weather theorem - Marcel Goh

While on holiday with my family over the break, I thought about a classic application of the Borsuk-Ulam theorem: There are always two ...

#70. an algebraic proof of the borsuk-ulam theorem for polynomial ...

BORSUK -ULAM THEOREM FOR POLYNOMIAL MAPPINGS. MANFRED KNEBUSCH 1. ABSTRACT. An algebraic proof is given for the following theorem: Every system of n.

#71. Matousek3.pdf - UC Davis Math

Generalizations of the Borsuk-Ulam theorem. 3.4 Deleted products. 4 Non-embeddability theorems and coloring theorems. 4.1 Topological Radon theorem.

#72. 1 Preliminaries: The Borsuk-Ulam Theorem

Indeed, the n = 1 case of Borsuk-Ulam is precisely equivalent to the Intermediate Value Theorem; for given an antipodal map g : S1 → R, pick ...

#73. EXTENSIONS OF THE BORSUK-ULAM THEOREM

In this paper we give a generalization of the well-known Borsuk-Ulam theorem and its extensions to countably many products of spheres.

#74. The Borsuk-Ulam theorem for maps into a surface - NASA/ADS

Let (X, t, S) be a triple, where S is a compact, connected surface without boundary, and t is a free cellular involution on a CW-complex X. The triple (X, ...

#75. Using the Borsuk-Ulam Theorem : Jiri Matousek

Using the Borsuk-Ulam Theorem by Jiri Matousek, 9783540003625, available at Book Depository with free delivery worldwide.

#76. - Borsuk-Ulam type theorems and their discrete analogs

The Borsuk-Ulam theorem papers. O. R. Musin, Extensions of Sperner and Tucker's lemma for manifolds, J. of Combinatorial Theory Series A, ...

#77. Borsuk-Ulam Implies Brouwer: A Direct Construction

1. INTRODUCTION. The Borsuk-Ulam theorem and the Brouwer fixed point theorem are well-known theorems of topology with a very similar flavor.

#78. Borsuk-Ulam Theorem | Gaurish4Math - WordPress.com

This is known as Borsuk-Ulam Theorem. To appreciate this theorem, one need to know a fundamental theorem about continuous functions known as ...

#79. My Favourite Piece of Maths, the Borsuk Ulam Theorem, and a ...

Formally, the Borsuk-Ulam theorem states that: For a continuous function f:S^n –> R there exists an xeS^n such that f(-x)= f(x).

#80. Gromov-Hausdorff distances, Borsuk-Ulam theorems, and ...

Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips Complexes ... The Gromov-Hausdorff distance between two metric spaces is an ...

#81. Using the Borsuk-Ulam Theorem - Jiří Matoušek - Typeset.io

Using the Borsuk-Ulam Theorem ... About: The article was published on 2003-01-01 and is currently open access. It has received 683 citation(s) till now. The ...

#82. The Borsuk-Ulam Theorem - geraintianpalmer.org.uk

Today I learned something I thought was awesome. My colleague Dr. Timm Oertel introduced me to this nice little theorem: the Borsuk-Ulam theorem ...

#83. A parametrized version of the Borsuk-Ulam theorem

Schick, Thomas, Simon, Robert Samuel, Spiez, Stanislav and Torunczyk, Henryk (2011) A parametrized version of the Borsuk-Ulam theorem.

#84. Section 57. The Borsuk-Ulam Theorem

Theorem 57.2. There is not continuous antipode-preserving map g : S2 → S1. Theorem 57.3. Borsuk-Ulam Theorem for S2. Given a continuous ...

#85. Borsuk-Ulam, Part 1 - gregbodwin - Google Sites

Borsuk -Ulam Theorem, Part 1. An n-sphere is the surface of an n+1-dimensional circle. For example, a 0-sphere is a pair of points at the end of a line ...

#86. Z2-bordism and the Borsuk–Ulam Theorem

Z2-bordism and the Borsuk–Ulam Theorem ... a free smooth involution τ with respect to the validity of the Borsuk–Ulam property that for every continuous map ...

#87. Borsuk-Ulam theorem | What's new - Terence Tao

Posts about Borsuk-Ulam theorem written by Terence Tao.

#88. lectures on topological methods in combinatorics and geometry

Using the Borsuk-Ulam theorem : lectures on topological methods in combinatorics and geometry-book.

#89. The Borsuk-Ulam Theorem

Vol. 20, No. 2, Pages 105–112, 2012. DOI: 10.2478/v10037-012-0014-0 versita.com/fm/. The Borsuk-Ulam Theorem. Artur Korniłowicz1. Institute of Informatics.

#90. Who (Else) Cares about Topology? Stolen Necklaces ... - Nagwa

And we also have to set up a certain topological fact about spheres that we'll use to solve it, called the Borsuk – Ulam theorem.

#91. Borsak-Ulem Theorem simplified

Borsak-Ulem Theorem defines antipodal points as specific points ... it's impossible to physically prove the Borsuk-Ulam Theory in practice.

#92. Replying to @heygude The Borsuk-Ulam theorem ... - TikTok

7.1K Likes, 119 Comments. TikTok video from Dex (@dexter.mp4): "Replying to @heygude The Borsuk - Ulam theorem.

#93. Borsuk–Ulam theorem - TheInfoList

The Borsuk–Ulam theorem is equivalent to the following statement: A continuous odd function from an ''n''-sphere into Euclidean ''n''-space has a zero. PROOF: * ...

#94. Borsuk–Ulam theorem

The Borsuk–Ulam theorem states that any continuous function from an n sphere into Euclidean n space maps some pair of antipodal points to the same point.

#95. Using the Borsuk-Ulam Theorem: Lectures on Topological ...

Prove that the Borsuk–Ulam theorem is equivalent to the following statement: For every α < 2, we have χ(B(n+1,α)) ≥ n+2 (here χ denotes the usual chromatic ...

#96. Using The Borsuk Ulam Theorem Lectures On Topological ...

Theorem Lectures. On Topological. Methods In. Combinatorics. And Geometry. Correcte. Borsuk-Ulam. Theorem - Explained by a Youtube Nerd.