Variable structure system: Difference between revisions

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In [[mathematics]], particularly the area of [[topology]], a '''simple-homotopy equivalence''' is a refinement of the concept of [[homotopy equivalence]]. Two [[CW-complex]]es are simple-homotopy equivalent if they are related by a sequence of [[collapse (topology)|collapses]] and expansions (inverses of collapses), and a homotopy equivalence is a simple homotopy equivalence if it is homotopic to such a map.
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The obstruction to a homotopy equivalence being a simple homotopy equivalence is the [[Whitehead torsion]], <math>\tau(f).</math>
 
==References==
*{{Citation | last1=Cohen | first1=Marshall M. | title=A course in simple-homotopy theory | publisher=[[Springer-Verlag]] | location=Berlin, New York | isbn=978-3-540-90055-9 | id={{MathSciNet | id = 0362320}} | year=1973}}
 
[[Category:Homotopy theory]]
 
 
{{topology-stub}}

Latest revision as of 10:26, 5 September 2014

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