stable homeomorphism conjecture

stable homeomorphism conjecture

[′stā·bəl ¦hō·mē·ō′mȯr‚fiz·əm kən‚jek·chər]
(mathematics)
For dimension n, the assertion that each orientation-preserving homeomorphism of the real n space, R n , into itself can be expressed as a composition of homeomorphisms, each of which is the identity on some nonempty open set in R n .