TY - JOUR
ID - 23337
TI - Generated topology on infinite sets by ultrafilters
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Bagheri Salec, Alireza
AD - Department of Mathematics, Faculty of Science, University of Qom, P.O.Box 3716146611, Qom, Iran.
Y1 - 2017
PY - 2017
VL - 08
IS - 1
SP - 43
EP - 53
KW - Stone-$check{C}$ech compactification
KW - Axiom of separation
KW - Filter
DO - 10.22130/scma.2017.23337
N2 - Let $X$ be an infinite set, equipped with a topology $tau$. In this paper we studied the relationship between $tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.
UR - https://scma.maragheh.ac.ir/article_23337.html
L1 - https://scma.maragheh.ac.ir/article_23337_6c78346b95a2ee9f22a0f2d5078a421e.pdf
ER -