Category in function spaces. I
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Publication:1162276
DOI10.2140/pjm.1980.90.145zbMath0481.54017OpenAlexW2056925769MaRDI QIDQ1162276
David J. Lutzer, Robert A.McCoy
Publication date: 1980
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1980.90.145
topological gameBaire spacetopology of pointwise convergencewinning strategiesnormal spacespseudocompletenessCech-completenessspaces of continuous, real-valued functions
Game theory (91A99) Function spaces in general topology (54C35) Baire category, Baire spaces (54E52) Topology of special sets defined by functions (54C50) Separability of topological spaces (54D65)
Related Items (34)
The spaces \(C_ p(X):\) decomposition into a countable union of bounded subspaces and completeness properties ⋮ Baire property of spaces of continuous functions ⋮ A selection of recent results and problems in \(C_{p}\)-theory ⋮ Completeness properties of function spaces ⋮ Function Spaces of Low Borel Complexity ⋮ When is a Volterra space Baire? ⋮ Algebraic objects generated by topological structure ⋮ Baireness of \(C_ k(X)\) for locally compact \(X\) ⋮ Non-trivial non weakly pseudocompact spaces ⋮ Pseudo-completeness of the compact-open topology on \(C(X)\) ⋮ Unnamed Item ⋮ Weak pseudocompactness on spaces of continuous functions ⋮ Baire property of some function spaces ⋮ Baire property of spaces of \([0, 1\)-valued continuous functions] ⋮ On the Čech number of \(C_p(X)\) ⋮ Descriptive Complexity of Function Spaces ⋮ Remainders of products, topological groups and \(C_p\)-spaces ⋮ Completeness type properties on \(C_{p}(X,Y)\) spaces ⋮ Completeness properties of the open-point and bi-point-open topologies on {\(C(X)\)} ⋮ Completeness and compactness properties in metric spaces, topological groups and function spaces ⋮ A note on spaces related to Namioka spaces ⋮ On convergent sequences in dual groups ⋮ Function Spaces and Local Characters of Topological Spaces ⋮ Duality with respect to the functor \(C_ p\) and cardinal invariants of the type of the Souslin number ⋮ Domain representability of certain function spaces ⋮ Weakly Pseudocompact Spaces ⋮ Some results on separate and joint continuity ⋮ Unnamed Item ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ \(P\)-points in \(\mathbb{N}^*\) and the spaces of continuous functions ⋮ An example of \(t^*_p\)-equivalent spaces which are not \(t_p\)-equivalent ⋮ Special issue on \(C_p(X)\)-theory ⋮ A countable dense homogeneous topological vector space is a Baire space ⋮ Coincidence of the upper Kuratowski topology with the co-compact topology on compact sets, and the Prohorov property
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