Spaces of maps into topological group with the Whitney topology

DOI10.1016/j.topol.2010.02.002zbMath1193.54021arXiv0904.1458OpenAlexW2964140756MaRDI QIDQ960850

Kotaro Mine, Taras Banakh, Tatsuhiko Yagasaki, Katsuro Sakai

Publication date: 29 March 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1458

zbMATH Keywords

topological groupFréchet spacefunction spacebox productLF-space(\(\mathbb R^{\infty } \times I_2\))-manifold\(l_{2}\)-manifoldend-discretesmall box productWhitney (graph) topology

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological groups (topological aspects) (54H11) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Topology of infinite-dimensional manifolds (57N20) Manifolds of mappings (58D15) Manifolds of mappings (46T10)

Related Items (1)

Orbit spaces of Hilbert manifolds

Cites Work

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• The box product of countably many metrizable spaces need not be normal
• On topological, Lipschitz and uniform classification of LF-spaces
• The Space of Cross Sections of a Bundle
• On hyperspaces and homeomorphism groups homeomorphic to products of absorbing sets and \(R^\infty\)

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