Construct · 1 fields · 1 citations

generalized Poincaré conjecture: a standalone construct

One name. One construct. A landmark on the map.

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Topology

a closed manifold of dimension five or more homotopy equivalent to a sphere is homeomorphic to it.

In topology, generalized Poincaré conjecture refers to a closed manifold of dimension five or more homotopy equivalent to a sphere is homeomorphic to it. This meaning comes from Smale (1961) in The Annals of Mathematics.[1]

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Nearby constructs

closed3 fields · 3 citationsjingle · one word, three constructs dimension4 fields · 5 citationsjingle · one word, four constructs manifold2 fields · 2 citationsjingle · one word, two constructs

References

Smale, S. (1961). Generalized Poincare's Conjecture in Dimensions Greater Than Four. The Annals of Mathematics, 74(2), 391. https://doi.org/10.2307/1970239

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