Structures on M x I (Ex)
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Diarmuid Crowley (Talk | contribs)
(Created page with "<wikitex>; Let $M$ be a closed oriented topological manifold is dimension $n \geq 5$ and let $\tilde \pi_0 \textup{Homeo}_+(M)$ denote the pseudo-isotopy group of orientation ...")
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(Created page with "<wikitex>; Let $M$ be a closed oriented topological manifold is dimension $n \geq 5$ and let $\tilde \pi_0 \textup{Homeo}_+(M)$ denote the pseudo-isotopy group of orientation ...")
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Revision as of 06:32, 29 May 2012
Let be a closed oriented topological manifold is dimension and let denote the pseudo-isotopy group of orientation preserving self homeomorphisms of : two self homeomorphisms and are pseudo-isotopy if then extend to a homeomorphism . Let
be the subgroup of equivalences classes which are homotopic to the identity.
Exercise 0.1. Using the fact that the topological surgery exact sequence is a long exact sequence of abelian groups show that is abelian.