Characterizing non-separable sigma-locally compact infinite-dimensional manifolds and its applications

DOI10.2969/jmsj/06641155zbMath1362.57031OpenAlexW2089175539MaRDI QIDQ482860

Katsuhisa Koshino

Publication date: 6 January 2015

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1414090239

zbMATH Keywords

hedgehogstrong universalityANR(strong) \(Z\)-set\((\ell_2(\tau) \times \mathbf{Q}, \ell_2^f(\tau) \times \mathbf{Q})\)-manifold pair\((\ell_2(\tau),\ell_2^f(\tau))\)-manifold pair\((\ell_2^f(\tau) \times \mathbf{Q})\)-manifold\(\ell_2^f(\tau)\)-manifold\(\tau\)-discrete \(n\)-cells property\(\tau\)-discrete approximation property\(Z\)-embeddingfull simplicial complex

Mathematics Subject Classification ID

General topology of complexes (57Q05) Topological characterizations of particular spaces (54F65) Triangulating manifolds (57Q15) Topology of topological vector spaces (57N17) Topology of infinite-dimensional manifolds (57N20)

Related Items (4)

On a hyperspace of compact subsets which is homeomorphic to a non-separable Hilbert space ⋮ Hyperspaces of finite subsets, homeomorphic to pre-Hilbert spaces ⋮ A function space from a compact metrizable space to a dendrite with the hypo-graph topology ⋮ Characterizations of manifolds modeled on absorbing sets in non-separable Hilbert spaces and the discrete cells property

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