A note on mappings of extremally disconnected spaces
Copyright policy )A note on mappings of extremally disconnected spaces
The author studies relationships between various generalizations of continuous mappings and open mappings. In particular semi-continuous and pre-open mappings are studied. A mapping f:X\(\to Y\) is called semi- continuous if \(f^{-1}(U)\subset cl Int f^{-1}(U)\) for every open set \(U\subset Y\) whereas it is pre-open if f(V)\(\subset Int cl f(V)\) for every open set \(V\subset X\). One of the main theorems of this paper says that images of extremally disconnected spaces under semi-continuous pre- open mappings remain extremally disconnected. This improves a result of \textit{T. Noiri} [Czech. Math. J. 31(106), 314-321 (1981; Zbl 0483.54006)].
- University of Belgrade Serbia
semi-open sets, pre-open mappings, Special maps on topological spaces (open, closed, perfect, etc.), Topological spaces and generalizations (closure spaces, etc.), pre-open sets, Weak and generalized continuity, images of extremally disconnected spaces, \(\alpha \) -topologies, Extremally disconnected spaces, \(F\)-spaces, etc., \(\alpha \) -sets, semi-continuous mappings
semi-open sets, pre-open mappings, Special maps on topological spaces (open, closed, perfect, etc.), Topological spaces and generalizations (closure spaces, etc.), pre-open sets, Weak and generalized continuity, images of extremally disconnected spaces, \(\alpha \) -topologies, Extremally disconnected spaces, \(F\)-spaces, etc., \(\alpha \) -sets, semi-continuous mappings
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).20 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!