Around Ulam's question on retractions
KeywordsLipschtz mappings, optimal retractions on sphere
AbstractIt 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.
How to Cite
CHAOHA, Phichet, GOEBEL, Kazimierz & TERMWUTTIPONG, Imchit. Around Ulam’s question on retractions. Topological Methods in Nonlinear Analysis [online]. 23 April 2012, T. 40, nr 1, s. 215–224. [accessed 2.12.2021].
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