Every Weak Proper Homotopy Equivalence is Weakly Properly Homotopic to a Proper Homotopy Equivalence

DOI10.2307/1997552zbMath0329.55008OpenAlexW4248699163MaRDI QIDQ4095572

Harold M. Hastings, David A. Edwards

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997552

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Topology of infinite-dimensional manifolds (57N20)

Related Items (4)

Classifying pro-fibrations and shape fibrations ⋮ Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory ⋮ The behavior on fundamental group of a free pro-homotopy equivalence ⋮ Strong and weak shape equivalence of metric compacta

Cites Work

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• Chapman's classification of shapes. A proof using collapsing
• Cech and Steenrod homotopy theories with applications to geometric topology
• Finding a boundary for a Hilbert cube manifold
• Counting homotopy types of manifolds
• Hilbert cube manifolds
• Mapping cylinders of Hilbert cube factors
• On some applications of infinite-dimensional manifolds to the theory of shape

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