Topological Properties of the Hilbert Cube and the Infinite Product of Open Intervals
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Publication:5531357
DOI10.2307/1994447zbMath0152.12601OpenAlexW4245795968MaRDI QIDQ5531357
Publication date: 1967
Full work available at URL: https://doi.org/10.2307/1994447
Related Items (37)
Negligible subsets in the space of homeomorphisms ⋮ Union of Convex Hilbert Cubes ⋮ Approximating homotopies by isotopies in Fréchet manifolds ⋮ A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines ⋮ Factoring the Hilbert cube ⋮ A factor theorem for Fréchet manifolds ⋮ Strongly negligible sets in Fréchet manifolds ⋮ Hypermaps of continua ⋮ Hyperspaces of Cones and Fans ⋮ Hyperspaces which are products ⋮ On a Theorem of Klee ⋮ Chapman's complement theorem in shape theory: A version for the infinite product of lines ⋮ On Homeomorphisms of Certain Infinite Dimensional Spaces ⋮ Uniqueness of hyperspaces for Peano continua ⋮ Deficient Subsets in Locally Convex Spaces ⋮ CLASSIFICATION OF ONE DIMENSIONAL DYNAMICAL SYSTEMS BY COUNTABLE STRUCTURES ⋮ On Homeomorphisms of Infinite Dimensional Bundles. III ⋮ On Homeomorphisms of Infinite-Dimensional Bundles. I ⋮ Factors of Infinite-Dimensional Manifolds ⋮ An Infinite-Dimensional Schoenflies Theorem ⋮ Structure of Hereditarily Infinite Dimensional Spaces ⋮ Characterizing shapes of compacta ⋮ Negligible sets in Erdős spaces ⋮ Infinite Products which are Hilbert Cubes ⋮ Homological Embedding Properties of the Fibers of a Map and the Dimension of its Image ⋮ Dense Sigma-Compact Subsets of Infinite-Dimensional Manifolds ⋮ Dugundji's canonical covers, asymptotic and covering dimension ⋮ A Note on Stable Homeomorphisms of Infinite-Dimensional Manifolds ⋮ Les voisinages ouverts réguliers : critères homotopiques d'existence ⋮ Unnamed Item ⋮ Stationary Isotopies of Infinite-Dimensional Spaces ⋮ Using Flows to Construct Hilbert Space Factors of Function Spaces ⋮ Every non-normable Frechet space is homeomorphic with all of its closed convex bodies ⋮ Lipschitz conjugation and extension of homeomorphisms in \(l_ p\)-spaces ⋮ Hilbert space is homeomorphic to the countable infinite product of lines ⋮ Some retractions and deformation retractions on \(2^ X\) and C(X) ⋮ The Union of Two Hilbert Cubes Meeting in a Hilbert Cube Need Not be a Hilbert Cube
Cites Work
- Die Homoiomorphie der kompakten konvexen Mengen im Hilbertschen Raum
- Two topological properties of topological linear spaces
- Every non-normable Frechet space is homeomorphic with all of its closed convex bodies
- Homogeneity of infinite products of manifolds with boundary
- Generalization of a construction of Antoine
- A Note on Topological Properties of Normed Linear Spaces
- On a Theorem of Klee
- Some Topological Properties of Convex Sets
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