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Results tagged with homeomorphism
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user 40804
19
votes
What happens to a closed manifold to ensure it is homeomorphic to a torus $T^{n}$?
Then $f$ is homotopic relative to the boundary to a homeomorphism."
Finitely generated abelian groups are polycyclic and your manifold $M$ is aspherical. … Thus the classifying map $f: M \to K(\Bbb Z^4, 1) = T^4$ for its fundamental group is a homotopy equivalence, and Freedman-Quinn's result implies that this map is homotopic to a homeomorphism. …
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