Homotopy invariance of infinite-dimensional homotopy groups of Hilbert space subsets

DOI10.3103/S1068362308040043zbMath1302.55008MaRDI QIDQ470110

E. A. Mirzakhanyan, N. Eh. Mirzakhanyan

Publication date: 11 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceadmissible class of \(K_0\)-continuous mappingsfunctor of infinite-dimensional groupsinfinite-dimensional homotopic groups

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Homotopy groups (55Q99)

Cites Work

• Construction of infinite-dimensional relative homotopy groups in Hilbert space
• Modified retracts in Hilbert spaces
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