On Infinite-Dimensional Manifold Triples
From MaRDI portal
Publication:3198551
DOI10.2307/2001319zbMath0713.57010OpenAlexW4251570818MaRDI QIDQ3198551
Katsuro Sakai, Raymond Y. Wong
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2001319
Hilbert spaceHilbert cube(Q,\(\Sigma \) ,\(\sigma \) )- manifold triple\({\mathbb{R}}^{\infty }\) Hilbert cube manifolds\({\mathbb{R}}^{\infty }\)-manifoldscap-pair
Related Items (6)
Infinite-dimensional manifold triples of homeomorphism groups ⋮ A Function Space Triple of a Compact Polyhedron into an Open Set in Euclidean Space ⋮ Spaces of measures on metrizable spaces ⋮ On Hyperspaces of Polyhedra ⋮ An Embedding Space Triple of the Unit Interval into a Graph and its Bundle Structure ⋮ Hyperspaces of non-compact metrizable spaces which are homeomorphic to the Hilbert cube.
Cites Work
- Unnamed Item
- Unnamed Item
- Boundary sets in the Hilbert cube
- Characterizing certain incomplete infinite-dimensional absolute retracts
- On topologies of triangulated infinite-dimensional manifolds
- The space of Lipschitz maps from a compactum to a locally convex set
- The homeomorphism group of a compact Hilbert cube manifold is an ANR
- Infinite-dimensional manifolds are open subsets of Hilbert space
- Extending homeomorphisms to Hilbert cube manifolds
- Some Applications of The Topological Characterizations of the Sigma-Compact Spaces l 2 f and ∑
- Characterizing the Topology of Infinite-Dimensional σ-Compact Manifolds
- A Q-Manifold Local-Compactification of a Metric Combinatorial ∞- Manifold
- Hilbert space is homeomorphic to the countable infinite product of lines
- Factors of Infinite-Dimensional Manifolds
- Strongly negligible sets in Fréchet manifolds
- Infinite Products which are Hilbert Cubes
- 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
- Dense Sigma-Compact Subsets of Infinite-Dimensional Manifolds
- On Spaces of Homeomorphisms, Embeddings, and Functions, II: The Piecewise Linear Case
This page was built for publication: On Infinite-Dimensional Manifold Triples