Poincaré space

Noun CEFR B2

Definitions

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.

Examples

“Any closed, orientable, connected manifold is a Poincaré space.”

CEFR level

B2

Upper Intermediate
This word is part of the CEFR B2 vocabulary — upper intermediate level.

See all B2 English words →

See also

Poincaré-Birkhoff-Witt theorem poinciana poind poinder Poindexter poinding

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