Homotopy, simple homotopy and compacta

DOI10.1016/0040-9383(80)90001-4zbMath0446.55003OpenAlexW1999190023MaRDI QIDQ1145915

Steven C. Ferry

Publication date: 1980

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(80)90001-4

zbMATH Keywords

classifying space of compact fibrations with a given homotopy fibercontractible retractiongeometric homotopy theory of compact spaceshomotopy dominated by a compact spacehomotopy dominated by a finite CW complexhomotopy equivalence between compact spaceshomotopy equivalent to a compact space

Mathematics Subject Classification ID

General topology of complexes (57Q05) Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Compactness (54D30) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Compact (locally compact) metric spaces (54E45) Stable homotopy groups (55Q10) Cellularity in topological manifolds (57N60)

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