Function spaces of CW homotopy type are Hilbert manifolds

DOI10.1090/S0002-9939-08-09584-1zbMath1163.54010OpenAlexW1980740549MaRDI QIDQ3605031

Jaka Smrekar, Atsushi Yamashita

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09584-1

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Absolute neighborhood retracts (55M15) Topology of infinite-dimensional manifolds (57N20)

Related Items (5)

A Hilbert cube compactification of a function space from a Peano space into a one-dimensional locally compact absolute retract ⋮ Homotopy characterization of ANR function spaces ⋮ CW towers and mapping spaces ⋮ Non-separable Hilbert manifolds of continuous mappings ⋮ Absolute neighbourhood retracts and spaces of holomorphic maps from Stein manifolds to Oka manifolds

Cites Work

• Non-separable Hilbert manifolds of continuous mappings
• Separable complete ANR's admitting a group structure are Hilbert manifolds
• Compact open topology and CW homotopy type
• A classification theorem for fibre spaces
• On Spaces Having the Homotopy Type of a CW-Complex
• Homotopy type of mapping spaces and existence of geometric exponents
• Characterizing Hilbert space topology
• Une caractérisation des rétractes absolus de voisinage
• The Space of Cross Sections of a Bundle
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