Around Ulam's question on retractions

Phichet Chaoha, Kazimierz Goebel, Imchit Termwuttipong

Abstract


It is known that the unit ball in infinitely dimensional Hilbert space can be retracted onto its boundary via a lipschitzian mapping. The magnitude of Lipschitz constant is only roughly estimated. The note contains a number of observations connected to this result and opens some new problems.

Keywords


Lipschtz mappings; optimal retractions on sphere

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