The Baire category theorem in products of linear spaces and topological groups
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Publication:1074169
DOI10.1016/0166-8641(86)90025-8zbMath0589.54040OpenAlexW2015603773MaRDI QIDQ1074169
Publication date: 1986
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-8641(86)90025-8
Cantor setsBaire spacescompletely metrizable linear topological spacepath connected abelian topological group
Structure of general topological groups (22A05) Baire category, Baire spaces (54E52) Locally convex Fréchet spaces and (DF)-spaces (46A04)
Related Items (13)
Category product densities and liftings ⋮ Final compactness is not preserved under products of spaces of the form \(C_ p(X)\) ⋮ Bounded sets in topological vector spaces ⋮ Algebraic objects generated by topological structure ⋮ More on products of Baire spaces ⋮ On Souslin sets and embeddings in integer-valued function spaces on \(\omega_1\) ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Beyond Lebesgue and Baire. III: Steinhaus' theorem and its descendants ⋮ Effros, Baire, Steinhaus and non-separability ⋮ Pontryagin duality in the class of precompact abelian groups and the Baire property ⋮ Concerning connected, pseudocompact Abelian groups ⋮ Domain Invariance in Infinite-Dimensional Linear Spaces ⋮ A strong Baire category theorem for products
Cites Work
- Normed barely Baire spaces
- Barely Baire spaces
- Cartesian products of Baire spaces
- Products of Baire Spaces
- Note on decompositions of metrizable spaces I
- Note on category in Cartesian products of metrizable spaces
- Cartesian Products of Metric Baire Spaces
- Products of Baire topological vector spaces
- Independent sets in topological algebras
- On the cartesian product of metric spaces
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