On the pseudouniform topology on \(C(X)\)

DOI10.1016/J.TOPOL.2021.107796zbMath1481.54004OpenAlexW3195890164MaRDI QIDQ2665217

A. D. Rojas-Sánchez, H. Villegas-Rodríguez, Ángel Tamariz-Mascarúa

Publication date: 18 November 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107796

zbMATH Keywords

sequential spacedensityuniformityidealcontinuum hypothesisweightcellularityfunction spacetopology of uniform convergence\(k\)-spacecountably compact spacesequentially compact space\( \kappa \)-independent familiesfamily of functions of \(\kappa \)-large oscillationpseudouniform topology

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15)

Related Items (1)

The topology of uniform convergence on Lindelöf subsets

Cites Work

• Topologies between compact and uniform convergence on function spaces
• Topological properties of spaces of continuous functions
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