A note on weak structures due to Cs\'asz\'ar
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2015), pp. 114-116
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Weak structures has been introduced by Á. Császár and it has been shown that every generalized topology and every minimal structure is a weak structure. Recently E. Ekici introduced and studied the structure $r(w)$ in a weak structure $w$ on $X$. In general the structure $r(w)$ need not be a topology on $X$. In this paper we have shown that under some conditions $r(w)$ is a topology on $X$. Further, comparision of two weak structures has been studied.
@article{BASM_2015_2_a9,
author = {A. K. Das},
title = {A note on weak structures due to {Cs\'asz\'ar}},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {114--116},
publisher = {mathdoc},
number = {2},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2015_2_a9/}
}
A. K. Das. A note on weak structures due to Cs\'asz\'ar. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2015), pp. 114-116. http://geodesic.mathdoc.fr/item/BASM_2015_2_a9/