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Embedding up to homotopy type in Euclidean space

Published online by Cambridge University Press:  17 April 2009

A.N. Dranišnikov  and
D. Repovš
A.N. Dranišnikov
Affiliation:
Institute for Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana 61111, Slovenia
D. Repovš
Affiliation:
Institute for Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana 61111, Slovenia
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Abstract

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We give 8 short proof of the classical Stallings theorem that every finite n-dimensional cellular complex embeds up to homotopy in the 2n-dimensional Euclidean space. As an application we solve a problem of M. Kreck.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 1 , February 1993 , pp. 145 - 148
Copyright
Copyright © Australian Mathematical Society 1993

References

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