TY  - JOUR
T1  - Closure Operators in Constant Filter Convergence Spaces
AU  - Erciyes, Ayhan
AU  - Baran, Tesnim Meryem
AU  - Qasim, Muhammad
PY  - 2020
DA  - April
Y2  - 2020
JF  - Konuralp Journal of Mathematics
JO  - Konuralp J. Math.
PB  - Mehmet Zeki SARIKAYA
WT  - DergiPark
SN  - 2147-625X
SP  - 185
EP  - 191
VL  - 8
IS  - 1
LA  - en
AB  - In this paper, we define two notions of closure in the category of constant filter convergence spaces which satisfy productivity, idempotency, and hereditariness. Moreover, by using these closure operators, we characterize each of $T_{i}$ constant filter convergence spaces, $i=0,1,2$ and show that each of these subcategories consisting of $T_{i}$ constant filter convergence spaces, $i=0,1,2$, are epireflective. Finally, we investigate the relationship among these subcategories.
KW  - Topological category
KW  - closure operator
KW  - constant filter convergence spaces
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UR  - https://dergipark.org.tr/en/pub/konuralpjournalmath/issue//681074
L1  - https://dergipark.org.tr/en/download/article-file/1069668
ER  -