Pointwise convergence of quasicontinuous mappings and Baire spaces
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Publication:658374
DOI10.1216/RMJ-2011-41-6-1883zbMath1241.54008OpenAlexW2056433782MaRDI QIDQ658374
Publication date: 12 January 2012
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmj-2011-41-6-1883
Baire category, Baire spaces (54E52) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Real-valued functions in general topology (54C30)
Related Items (18)
Minimal usco and minimal cusco maps and compactness ⋮ Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence ⋮ Quasicontinuous subcontinuous functions and compactness ⋮ Spaces of Minimal Usco and Minimal Cusco Maps as Fréchet Topological Vector Spaces ⋮ Fréchet subspaces of minimal usco and minimal cusco maps ⋮ Points of uniform convergence and quasicontinuity ⋮ A note on strong quasi-continuity of multifunctions ⋮ Quasicontinuous functions and compactness ⋮ A few variants of quasi-continuity in bitopological spaces ⋮ Functional characterizations of \(p\)-spaces ⋮ Quasicontinuous functions and the topology of pointwise convergence ⋮ Relations between minimal usco and minimal cusco maps ⋮ Minimal usco maps and cardinal invariants of the topology of uniform convergence on compacta ⋮ Quasi-continuity of multifunctions on bitopological spaces ⋮ Metrizability of the space of quasicontinuous functions ⋮ New characterizations of minimal cusco maps ⋮ There are \(2^{\mathfrak{c}}\) quasicontinuous non Borel functions on uncountable Polish space ⋮ A characterization of the uniform convergence points set of some convergent sequence of functions
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