On the topology of direct limits of ANR's

DOI10.2140/PJM.1981.93.307zbMath0459.57009OpenAlexW2031282681MaRDI QIDQ1152148

H. Torunczyk, Richard E. Heisey

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.93.307

zbMATH Keywords

direct limit of homotopy equivalences of ANR'stopology of direct limits of ANR's

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Hyperspaces in general topology (54B20) Categorical methods in general topology (54B30) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topology of infinite-dimensional manifolds (57N20)

Related Items (7)

Combinatorial infinite-dimensional manifolds and \({\mathbb{R}}^{\infty}\)- manifolds ⋮ Simplicial complexes triangulating infinite-dimensional manifolds ⋮ Hyperspaces of direct limits of locally compact metric spaces ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group ⋮ On \({\mathbb{R}}^{\infty}\)-manifolds and \(Q^{\infty}\)-manifolds ⋮ A \(Q^ \infty\)-manifold topology of the space of Lipschitz maps

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