stable homeomorphism conjecture

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stable homeomorphism conjecture [′stā·bəl ¦hō·mē·ō′mȯr‚fiz·əm kən‚jek·chər]

(mathematics)

For dimensionn, the assertion that each orientation-preserving homeomorphism of the realnspace,Rⁿ, into itself can be expressed as a composition of homeomorphisms, each of which is the identity on some nonempty open set inRⁿ.

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