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…

Papers overview

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2016

In this work, we introduce the (CLR)-property for the hybrid pairs of singlevalued and multi-valued mappings and give some…

2015

The Borsuk-Ulam theorem states that a continuous function $f:S^n \to \R^n$ has a point $x\in S^n$ with $f(x)=f(-x)$. We give an…

2015

We prove the Hyers–Ulam–Rassias stability of generalized Popoviciu functional equations in Banach modules over a unital C…

2015

The Borsuk-Ulam theorem is perhaps among the results in algebraic topology having the greatest number of applications to problems…

2014

In this paper we present a Kakutani type theorem that is equivalent to the Borsuk--Ulam theorem for manifolds.

2014

For each sapphire Sol $3$-manifold, we classify the free involutions. For each triple $(M, \tau; R^n)$ where $M$ is a sapphire…

2009

In this paper, we introduce the following additive type functional equation f(rx+ sy) = r + s 2 f(x+ y) + r − s 2 f(x− y), where…

2009

Let Ck be the cyclic group of order k and N = (R,+, ·, <, . . . ) an o-minimal expansion of a real closed field R. Let X be a…

2005

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…

1985

Let X be a compact metric space and L a closed linear subspace of C( X), the real valued continuous functions on X. We give…