Between closed sets and generalized closed sets in closure spaces
Communications in Mathematics, Tome 16 (2008) no. 1, pp. 3-14
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The purpose of the present paper is to define and study $\partial $-closed sets in closure spaces obtained as generalization of the usual closed sets. We introduce the concepts of $\partial $-continuous and $\partial $-closed maps by using $\partial $-closed sets and investigate some of their properties.
Classification :
54A05, 54D10
Keywords: closure operator; generalized closed set; $\partial $-closed set; $\partial $-continuous map
Keywords: closure operator; generalized closed set; $\partial $-closed set; $\partial $-continuous map
@article{COMIM_2008__16_1_a0,
author = {Boonpok, Chawalit and Khampakdee, Jeeranunt},
title = {Between closed sets and generalized closed sets in closure spaces},
journal = {Communications in Mathematics},
pages = {3--14},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {2008},
mrnumber = {2498632},
zbl = {1195.54002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/COMIM_2008__16_1_a0/}
}
TY - JOUR AU - Boonpok, Chawalit AU - Khampakdee, Jeeranunt TI - Between closed sets and generalized closed sets in closure spaces JO - Communications in Mathematics PY - 2008 SP - 3 EP - 14 VL - 16 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/COMIM_2008__16_1_a0/ LA - en ID - COMIM_2008__16_1_a0 ER -
Boonpok, Chawalit; Khampakdee, Jeeranunt. Between closed sets and generalized closed sets in closure spaces. Communications in Mathematics, Tome 16 (2008) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/COMIM_2008__16_1_a0/