On countably uniformly paracompact spaces
B.E. Kanetov, D. E. Kanetova, N. I. Altybaev
Abstract
In this work we introduce and study countably uniformly paracompact spaces. In particular, the problem is solved: what are uniform spaces which for any finitely additive countable open covering ω admit a uniformly continuous ω-mapping to some metrizable space?
Topics & Concepts
Paracompact spaceCountable setMetrization theoremMathematicsPure mathematicsSpace (punctuation)Discrete mathematicsComputer scienceMathematical analysisSeparable spaceHausdorff spaceOperating systemAdvanced Topology and Set TheoryAdvanced Banach Space TheoryFixed Point Theorems Analysis