On extending continuous functions into a metrizable AE

DOI10.1016/0016-660X(78)90002-8zbMath0396.54010OpenAlexW2029962034MaRDI QIDQ4179512

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Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0016-660x(78)90002-8

zbMATH Keywords

absolute neighborhood retractabsolute extensorc-embeddingcontinuous gamma-separable pseudometricgamma-collectionwise normalmorita-hoshina homotopy extension theorem

Mathematics Subject Classification ID

Continuous maps (54C05) Metric spaces, metrizability (54E35) Retraction (54C15) Extension of maps (54C20) Embedding (54C25) (C)- and (C^*)-embedding (54C45) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (2)

Theory of retracts and infinite-dimensional manifolds ⋮ Extension theory: The interface between set-theoretic and algebraic topology

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