Ideal quasi-normal convergence and related notions
Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 265-281
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Recently the second author and D. Chandra (2013) began to study the notion of ideal quasi-normal convergence and some topological notions defined by this convergence. We show how some properties of those notions depend on the ideal; sometimes, they are also equivalent to some property of the ideal. Moreover, we exhibit non-trivial cases when the new notion introduced by the ideal quasi-normal convergence is equivalent to the corresponding original notions. Some relations between the new notions for different ideals are investigated as well. Then we extend the characterization of some of the notions by convergence properties of the topological space ${\rm C}_p({X})$. Finally, we study the relation of the new convergences to the covering properties of the underlying topological space.
Keywords:
recently second author nbsp chandra nbsp began study notion ideal quasi normal convergence topological notions defined convergence properties those notions depend ideal sometimes equivalent property ideal moreover exhibit non trivial cases notion introduced ideal quasi normal convergence equivalent corresponding original notions relations between notions different ideals investigated extend characterization notions convergence properties topological space finally study relation convergences covering properties underlying topological space
Affiliations des auteurs :
Lev Bukovský 1 ; Pratulananda Das 2 ; Jaroslav Šupina 1
@article{10_4064_cm6520_3_2016,
author = {Lev Bukovsk\'y and Pratulananda Das and Jaroslav \v{S}upina},
title = {Ideal quasi-normal convergence and related notions},
journal = {Colloquium Mathematicum},
pages = {265--281},
publisher = {mathdoc},
volume = {146},
number = {2},
year = {2017},
doi = {10.4064/cm6520-3-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6520-3-2016/}
}
TY - JOUR AU - Lev Bukovský AU - Pratulananda Das AU - Jaroslav Šupina TI - Ideal quasi-normal convergence and related notions JO - Colloquium Mathematicum PY - 2017 SP - 265 EP - 281 VL - 146 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm6520-3-2016/ DO - 10.4064/cm6520-3-2016 LA - en ID - 10_4064_cm6520_3_2016 ER -
%0 Journal Article %A Lev Bukovský %A Pratulananda Das %A Jaroslav Šupina %T Ideal quasi-normal convergence and related notions %J Colloquium Mathematicum %D 2017 %P 265-281 %V 146 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm6520-3-2016/ %R 10.4064/cm6520-3-2016 %G en %F 10_4064_cm6520_3_2016
Lev Bukovský; Pratulananda Das; Jaroslav Šupina. Ideal quasi-normal convergence and related notions. Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 265-281. doi: 10.4064/cm6520-3-2016
Cité par Sources :