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arxiv: math/0206145 · v3 · submitted 2002-06-14 · 🧮 math.GT · math.DG

Projective planes and their look-alikes

classification 🧮 math.GT math.DG
keywords manifoldsplanesprojectivebundlesclassifyclosedconnectedconstruction
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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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