Some properties of MAR and MANR

DOI10.2748/tmj/1178229975zbMath0396.54011OpenAlexW1989782700MaRDI QIDQ1253462

Katsuro Sakai

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229975

zbMATH Keywords

movabilityshape equivalencemutational absolute neighborhood retractsshape of product spaces

Mathematics Subject Classification ID

Shape theory in general topology (54C56)

Related Items (1)

Theory of retracts and infinite-dimensional manifolds

Cites Work

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• On embedding uniform and topological spaces
• Embeddings of infinite-dimensional manifold pairs and remarks on stability and deficiency
• Three questions of Borsuk concerning movability and fundamental retraction
• On spaces which have the shape of compact metric spaces
• On the shape of MAR and MANR-spaces
• On Cartesian factors and the topological classification of linear metric spaces
• A characterization of MAR and MANR-spaces by extendability of mutations
• Locally well-behaved paracompacta in shape theory
• On shape of product spaces
• Mutational retracts and extensions of mutations
• Concerning homotopy properties of compacta
• Fundamental retracts and extensions of fundamental sequences
• A Short Proof of the Arens-Eells Embedding Theorem
• On movable compacta
• A note on the theory of shape of compacta
• On shape
• A simple proof of Hausdorff's theorem on extending metrics
• Local properties of topological spaces

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