Boundary sets in the Hilbert cube
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Publication:1064586
DOI10.1016/0166-8641(85)90089-6zbMath0575.57008OpenAlexW1990426871MaRDI QIDQ1064586
Publication date: 1985
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-8641(85)90089-6
cap sets\(\sigma \) Z-setboundary set in the Hilbert cubecompact absorption propertylimit deformation propertyproximately \(LC^{\infty }\)
Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Topology of infinite-dimensional manifolds (57N20) Maps and general types of topological spaces defined by maps (54C99) Higher-dimensional local connectedness (54F35)
Related Items (32)
The compact Z-set property in convex sets ⋮ Stability of a fake topological Hilbert space ⋮ On the Smale theorem in weak shape theory ⋮ Boundary sets for growth hyperspaces ⋮ West’s problem on equivariant hyperspaces and Banach-Mazur compacta ⋮ Fake Boundary Sets in the Hilbert Cube ⋮ On \(Z\)-sets in the space of idempotent probability measures ⋮ Simplicial complexes triangulating infinite-dimensional manifolds ⋮ The topological structure of fuzzy sets with sendograph metric ⋮ The topological structure of the space of fuzzy compacta ⋮ The topological structure of the set of fuzzy numbers with the supremum metric ⋮ Blockers in hyperspaces ⋮ General Position Properties Satisfied by Finite Products of Dendrites ⋮ Characterizing non-separable sigma-locally compact infinite-dimensional manifolds and its applications ⋮ Dense Embeddings of Sigma-Compact, Nowhere Locally Compact Metric Spaces ⋮ Discrete cells properties in the boundary set setting ⋮ Normal systems over ANR's, rigid embeddings and nonseparable absorbing sets ⋮ Absorbing systems in infinite-dimensional manifolds ⋮ Hyperspaces of separable Banach spaces with the Wijsman topology ⋮ Dense embeddings of nowhere locally compact separable metric spaces ⋮ Examples of cell-like decompositions of the infinite-dimensional manifolds sigma and Sigma ⋮ On Infinite-Dimensional Manifold Triples ⋮ On closed mappings of 𝜎-compact spaces and dimension ⋮ A Hilbert cube compactification of the Banach space of continuous functions ⋮ Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold ⋮ Conjugating Homeomorphisms to Uniform Homeomorphisms ⋮ Hyperspaces of finite subsets as boundary sets ⋮ A \(Q^ \infty\)-manifold topology of the space of Lipschitz maps ⋮ Unnamed Item ⋮ Boundary set imbeddings in the Hilbert cube ⋮ Hyperspaces of non-compact metrizable spaces which are homeomorphic to the Hilbert cube. ⋮ Convex Hilbert cubes in superextensions
Cites Work
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- Examples of cell-like decompositions of the infinite-dimensional manifolds sigma and Sigma
- Sigma-compact, nowhere locally compact metric spaces can be densely imbedded in Hilbert space
- Hyperspaces of finite subsets as boundary sets
- Boundary set imbeddings in the Hilbert cube
- Boundary sets for growth hyperspaces
- Characterization of Hilbert space manifolds revisited
- Fake Boundary Sets in the Hilbert Cube
- A boundary set for the Hilbert cube containing no arcs
- Some Applications of The Topological Characterizations of the Sigma-Compact Spaces l 2 f and ∑
- Characterizing the Topology of Infinite-Dimensional σ-Compact Manifolds
- Characterizing Hilbert space topology
- On CE-images of the Hubert cube and characterization of Q-manifolds
- Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
- Hyperspaces of Peano continua are Hubert cubes
- A Fake Topological Hilbert Space
- Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets
- Dense Sigma-Compact Subsets of Infinite-Dimensional Manifolds
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