# Borsuk–Ulam theorem

## Papers overview

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2015

2015

- ArXiv
- 2015

The Borsuk-Ulam theorem states that a continuous function f : S → R has a point x ∈ S with f(x) = f(−x). We give an analogue of… (More)

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2012

2012

- Formalized Mathematics
- 2012

For simplicity, we adopt the following rules: a, b, x, y, z, X, Y , Z denote sets, n denotes a natural number, i denotes an… (More)

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2010

2010

- 2010

Let (X, τ, S) be a triple, where S is a compact, connected surface without boundary, and τ is a free cellular involution on a CW… (More)

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2010

2010

- 2010

In this note, we establish special homological properties of the set of solutions of the Borsuk-Ulam theorem. This solves a… (More)

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2010

2010

- 2010

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… (More)

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2007

2007

- Graphs and Combinatorics
- 2007

The Borsuk-Ulam theorem has many applications in algebraic topology, algebraic geomtry, and combinatorics. Here we study some… (More)

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2004

2004

- 2004

The local chromatic number of a graph was introduced in [13]. It is in between the chromatic and fractional chromatic numbers… (More)

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2003

2003

- 2003

Let X, Y be topological spaces and T : X → X a free involution. In this context, a question that naturally arises is whether or… (More)

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2002

2002

- 2002

Extensions of the Borsuk-Ulam Theorem by Timothy Prescott

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1986

1986

- 1986

The Borsuk-Ulam theorem of topology is applied to a problem in discrete mathematics. A bisection of a necklace with k colors of… (More)

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