In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.
@article{bwmeta1.element.doi-10_1515_math-2016-0093,
author = {Moiz ud Din Khan and Rafaqat Noreen and Muhammad Siddique Bosan},
title = {Semi-quotient mappings and spaces},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {1014-1022},
zbl = {1355.54043},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0093}
}
Moiz ud Din Khan; Rafaqat Noreen; Muhammad Siddique Bosan. Semi-quotient mappings and spaces. Open Mathematics, Tome 14 (2016) pp. 1014-1022. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0093/