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… (More)
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2015
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
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
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
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
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
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
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
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
Extensions of the Borsuk-Ulam Theorem by Timothy Prescott 
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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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