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On contractible
Authors:Dusan Repovs   Arkady Skopenkov
Affiliation:Institute of Mathematics, Physics and Mechanics, University of Ljubljana, P.O. Box 2964, Ljubljana, Slovenia 1001 ; Department of Differential Geometry, Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia 119899
Abstract:We present a very short proof of a well-known result, that for each $n$ there exists a contractible $n$-dimensional compactum, non-embeddable into $mathbb{R}^{2n}$.

Keywords:Embedding in euclidean space   contractible compactum   equivariant map   involution   Borsuk-Ulam theorem   antipode
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