Extending Homeomorphisms and Applications to Metric Linear Spaces Without Completeness
DOI10.2307/2001428zbMath0692.57007OpenAlexW4240693872MaRDI QIDQ3034537
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2001428
diffeomorphismabsorbing setspre-Hilbert spacealmost openZ-setsaction of a complete group on a complete spaceextending homeomorphisms between compacta of metric linear spaceshomeomorphism extension propertyisotopy extensionlocally convex metric linear spaceskeleton technique
Complete metric spaces (54E50) Compact (locally compact) metric spaces (54E45) Isotopy and pseudo-isotopy (57N37) General theory of locally convex spaces (46A03) Topology of topological vector spaces (57N17) Extension of maps (54C20) Differential topological aspects of diffeomorphisms (57R50)
Related Items (5)
Cites Work
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- The compact Z-set property in convex sets
- Separable complete ANR's admitting a group structure are Hilbert manifolds
- Embeddings in the trivial range
- Convex Structures and Continuous Selections
- Some Applications of The Topological Characterizations of the Sigma-Compact Spaces l 2 f and ∑
- Smooth and R-analytic negligibility of subsets and extension of homeomorphisms in Banach spaces
- Characterizing Hilbert space topology
- Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
- Sigma-Compact Locally Convex Metric Linear Spaces Universal for Compacta are Homeomorphic
- On Extending Mappings into Nonlocally Convex Linear Metric Spaces
- On Embeddings of Compacta in Euclidean Space
- Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets
- On Extending Homeomorphisms to Frechet Manifolds
- Smooth partitions of unity on some non-separable Banach spaces
- THE EMBEDDING OF COMPACTA IN EUCLIDEAN SPACE
- Some Topological Properties of Convex Sets
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