Retraction spaces and the homotopy metric

DOI10.1016/0166-8641(80)90013-9zbMath0415.54009OpenAlexW2042104858MaRDI QIDQ600127

Laurence Boxer

Publication date: 1980

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(80)90013-9

zbMATH Keywords

Hausdorff metricretractionabsolute neighborhood retracthomotopy dominationfundamental absolute neighborhood retractdeformation retractionfinite-dimensional compactumfundamental retractionhomotopy metricmovability

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Homotopy theory (55P99) Retraction (54C15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (3)

Theory of retracts and infinite-dimensional manifolds ⋮ Strongly e-movable convergence and spaces of ANR's ⋮ Maps related to calmness

Cites Work

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• Global properties of spaces of AR's
• The space of ANR's of a closed surface
• A Continuity Property With Applications to the Topology of 2-Manifolds
• Concerning the set of retractions
• The Space of Retractions of the 2-Sphere and the Annulus
• Spaces of ANR's
• Spaces of ANR's. II
• On some metrizations of the hyperspace of compact sets

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