Projective planes and their look-alikes

Details Projective planes and their look-alikes Projective planes and their look-alikes

2002-06-14

arxiv.org/abs/math/0206145v3

Mathematics

Geometric Topology

to appear in: Journal of Differential Geometry

Scientific paper

We classify all closed 1-connected manifolds $M$ which look like projective
planes, i.e. with integral homology $H_*(M)=Z^3$. Furthermore, we give an
explicit construction of these manifolds as Thom spaces of open disk bundles.

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