On Extending Mappings into Nonlocally Convex Linear Metric Spaces

DOI10.2307/2045633zbMath0561.54011OpenAlexW4240407714MaRDI QIDQ5186356

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Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045633

zbMATH Keywords

AR-propertyANR spacesequiconnected spaces\(\sigma \) -compact convex setabsolute extension property for compactaANE spacesF-space with a Schauder basislinear span of the Hilbert cube in the Hilbert space \(\ell _ 2\)locally contractible groups

Mathematics Subject Classification ID

Locally convex Fréchet spaces and (DF)-spaces (46A04) Topology of topological vector spaces (57N17) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Local compactness, (sigma)-compactness (54D45)

Related Items

Extending Homeomorphisms and Applications to Metric Linear Spaces Without Completeness, A unified fixed point theory in generalized convex spaces, Cauty's space enhanced, Affine and homeomorphic embeddings into $\ell ^2$, The space of maps from a locally compact space to a Banach space, Admissibility, homeomorphism extension and the AR-property in topological linear spaces, The admissibility and the AR-property of some unbounded convex sets in a class of non-locally convex spaces containing \(l_p\) \((0<p<1)\)

Cites Work

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