Generated topology on infinite sets by ultrafilters
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, a...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2017-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | http://scma.maragheh.ac.ir/article_23337_6c78346b95a2ee9f22a0f2d5078a421e.pdf |
| _version_ | 1818318981993332736 |
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| author | Alireza Bagheri Salec |
| author_facet | Alireza Bagheri Salec |
| author_sort | Alireza Bagheri Salec |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T10:01:52Z |
| format | Article |
| id | doaj.art-026995aa9caa4a299b1562f47d2bfaa5 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-13T10:01:52Z |
| publishDate | 2017-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-026995aa9caa4a299b1562f47d2bfaa52022-12-21T23:51:38ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002017-10-0181435323337Generated topology on infinite sets by ultrafiltersAlireza Bagheri Salec0Department of Mathematics, Faculty of Science, University of Qom, P.O.Box 3716146611, Qom, Iran.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.http://scma.maragheh.ac.ir/article_23337_6c78346b95a2ee9f22a0f2d5078a421e.pdfStone-$check{C}$ech compactificationAxiom of separationFilter |
| spellingShingle | Alireza Bagheri Salec Generated topology on infinite sets by ultrafilters Sahand Communications in Mathematical Analysis Stone-$check{C}$ech compactification Axiom of separation Filter |
| title | Generated topology on infinite sets by ultrafilters |
| title_full | Generated topology on infinite sets by ultrafilters |
| title_fullStr | Generated topology on infinite sets by ultrafilters |
| title_full_unstemmed | Generated topology on infinite sets by ultrafilters |
| title_short | Generated topology on infinite sets by ultrafilters |
| title_sort | generated topology on infinite sets by ultrafilters |
| topic | Stone-$check{C}$ech compactification Axiom of separation Filter |
| url | http://scma.maragheh.ac.ir/article_23337_6c78346b95a2ee9f22a0f2d5078a421e.pdf |
| work_keys_str_mv | AT alirezabagherisalec generatedtopologyoninfinitesetsbyultrafilters |