TY - JOUR
ID - 254339
TI - An Approach to Change the Topology of a Topological Space
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Talabeigi, Amin
AU - Talabeigi, Maryam
AD - Department of Mathematics, Payame Noor University(PNU), P.O.Box, 19395-4697, Tehran, Iran.
AD - Department of Electrical Computer Engineering,
instructor of girls Kosar Sirjan branch, Technical and Vocational University (TVU), Kerman, Iran.
Y1 - 2022
PY - 2022
VL - 19
IS - 3
SP - 55
EP - 63
KW - Kuratowski closure operator
KW - Grill
KW - Coarster topology
KW - Extension topology
KW - One-point extension topology
DO - 10.22130/scma.2022.132038.842
N2 - In this paper, we are going to introduce an approach to convert the topology of a topological space to another topology (in fact, a coarser topology). For this purpose, we consider a topological space $(X, \tau)$ with a closed point $p$ of its points. Using a grill $\mathcal{G}$ on the space $(X, \tau)$ and the closure operator associated with $\tau$, we define a Kuratowski closure operator $cl^*_p$ on $X$ to create the desired topology. We then characterize the form of this resulting topology and also determine its relationship to the initial topology of the space.
UR - https://scma.maragheh.ac.ir/article_254339.html
L1 - https://scma.maragheh.ac.ir/article_254339_7e881e561c422471177c3588c1ac0ca6.pdf
ER -