Extensional maps and approximate inverse limits

DOI10.1016/J.TOPOL.2018.02.017zbMath1393.54010OpenAlexW2792832220MaRDI QIDQ1709075

Matthew Lynam, Leonhard R. Rubin

Publication date: 27 March 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2018.02.017

zbMATH Keywords

inverse systemabsolute neighborhood retractabsolute extensorcofiniteabsolute neighborhood extensorapproximate inverse systemextensional equivalenceextensional mapMardešić trick

Mathematics Subject Classification ID

Extension of maps (54C20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Cites Work

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• A generalization of the Levin-Rubin-Schapiro factorization theorem
• Approximate inverse systems of compacta and covering dimension
• Cell-Like Mappings and Nonmetrizable Compacta of Finite Cohomological Dimension
• The Mardesic factorization theorem for extension theory and c-separation
• Equivalence of the Borsuk and the ANR-system approach to shapes

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