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# Borsuk–Ulam theorem

Known as: Borsuk Ulam theorem, Borsuk ulam, Borsuk-Ulam theorem
In mathematics, the Borsuk–Ulam theorem (BUT), states that every continuous function from an n-sphere into Euclidean n-space maps some pair of… Expand
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## Papers overview

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2017
2017
• 2017
• Corpus ID: 119165965
Barany’s “topological Tverberg conjecture” from 1976 states that any continuous map of an N-simplex $$\Delta _{N}$$ to \(\mathbb… Expand
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2017
2017
• 2017
• Corpus ID: 125683940
The aim of this paper is to compute a simplicial cohomology group of some specific digital images. Then we define ringand algebra… Expand
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2016
2016
• 2016
• Corpus ID: 123834194
This paper introduces a region-based extension of the Borsuk-Ulam Theorem (denoted by reBUT). A region is a subset of a surface… Expand
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Highly Cited
2016
Highly Cited
2016
Thank you very much for downloading using the borsuk ulam theorem lectures on topological methods in combinatorics and geometry… Expand
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2015
2015
• 2015
• Corpus ID: 118106962
Within the framework of free actions of compact quantum groups on unital C*-algebras, we propose two conjectures. The first one… Expand
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2003
2003
• 2003
• Corpus ID: 34126664
Abstract.Let X, Y be topological spaces and $T : X \rightarrow X$ a free involution. In this context, a question that naturally… Expand
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Highly Cited
1986
Highly Cited
1986
• 1986
• Corpus ID: 13059324
The Borsuk-Ulam theorem of topology is applied to a problem in discrete mathematics. A bisection of a necklace with k colors of… Expand
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1982
1982
Hint. Write every gj as a sum of an even and an odd polynomial. Theorem la is a special case of the well-known Borsuk-Ulam… Expand
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1981
1981
ABSTRAcr. Letp: E -B be an n-sphere bundle, q: V-B be an RI-bundle and f: E -V be a fibre preserving map over a paracompact space… Expand
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1974
1974
• 1974
• Corpus ID: 54061356
A coincidence theorem generalizing the classical result of Borsuk on maps of Sn into Rn is proved, in which the antipodal map is… Expand
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