Allam, A. A. and Bakeir, M. Y. and Abo-Tabl, E. A. (2006) New approach for closure spaces by relations. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 22 (3). pp. 285-304. ISSN 0866-0174
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Abstract
Recently, the general topology has become the appropriated frame for every collection related to relations because topology is required not only for mathematics and physics but also for biology, rough set theory, biochemistry, and dynamics. In this paper, we have introduced another concept of the closure operator. In so doing, the idempotent condition, which has never been realized, is achieved. The topologies associated with these closure operators are studied. And we study the subspace, continuous functions and lower separation axioms in this space. Also we study these space in digital topology.
| Item Type: | Article |
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| Uncontrolled Keywords: | Closure space, minimal neighborhood, closure subspace, continuous functions, lower separation axioms, digital line |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 31 Jan 2024 15:28 |
| Last Modified: | 31 Jan 2024 15:28 |
| URI: | http://real.mtak.hu/id/eprint/186893 |
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