An end theorem for stratified spaces

DOI10.1007/s002220050294zbMath0930.57025OpenAlexW2033354407MaRDI QIDQ1303289

Frank Connolly, Bogdan Vajiac

Publication date: 7 February 2000

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050294

zbMATH Keywords

stratificationtransversalitycompletionstratumcontrolled topologycontrolled \(K\)-theoryfiltered spacemapping cylinder neighborhoodexhaustionhomotopy linkmanifold stratified spacefundamental group at infinityend obstructionhomotopically stratified setKirby-Siebenmann obstructionorbit space of a group actionQuinn obstructionspace at infinitytame ended spacetame subspace

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Obstruction theory in algebraic topology (55S35) Topological (K)-theory (55N15) Algebraic topology of manifolds (57N65) Flatness and tameness of topological manifolds (57N45) Stratifiable spaces, cosmic spaces, etc. (54E20) General position and transversality (57N75) Stratifications in topological manifolds (57N80)

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Topological bordism of singular spaces and an application to stratified \(\mathrm{L}\)-classes ⋮ h-COBORDISMS AND MAPPING CYLINDER OBSTRUCTIONS ⋮ Unnamed Item

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