The exponential law for partial, local and proper maps and its application to otopy theory

DOI10.1142/S0219199714500059zbMath1303.55003OpenAlexW2095631614MaRDI QIDQ2923452

Piotr Bartłomiejczyk, Piotr Nowak-Przygodzki

Publication date: 15 October 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199714500059

zbMATH Keywords

partial mapcompact-open topologyexponential lawlocal mapsub bases

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Function spaces in general topology (54C35)

Related Items (3)

Otopy classification of gradient compact perturbations of identity in Hilbert space ⋮ The Hopf theorem for gradient local vector fields on manifolds ⋮ On the homotopy equivalence of the spaces of proper and local maps

Cites Work

• Proper gradient otopies
• The topology of spaces of rational functions
• Vector fields and transfers
• On products in homotopy groups
• Gradient otopies of gradient local maps
• A Compact-Open Topology on Partial Maps with Open Domain
• Classification of homotopy classes of equivariant gradient maps

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