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What does Poincaré space mean?

Looking for the meaning or definition of the word Poincaré space? Here's what it means.

Noun
  1. (topology) An n-dimensional topological space with a distinguished element µ of its nth homology group such that taking the cap product with an element of the kth cohomology group yields an isomorphism to the (n − k)th cohomology group.
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