P_\omega$-closedness and its Generalization With Respect to a Grill
In this paper, a new kind of covering axiom $pre$-$\omega$-closedness ($P_\omega$-closedness, for short), stronger than p-closedness due to J. Dontchev et. al. [7] is introduced in terms of pre-$\omega$-open sets [16]. Several characterizations via filter bases and grills [23] along with various pro...
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| Published in | Sarajevo journal of mathematics Vol. 7; no. 2; pp. 297 - 309 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
10.06.2024
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| Online Access | Get full text |
| ISSN | 1840-0655 2233-1964 |
| DOI | 10.5644/SJM.07.2.14 |
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| Summary: | In this paper, a new kind of covering axiom $pre$-$\omega$-closedness ($P_\omega$-closedness, for short), stronger than p-closedness due to J. Dontchev et. al. [7] is introduced in terms of pre-$\omega$-open sets [16]. Several characterizations via filter bases and grills [23] along with various properties of this concept are obtained. Grill generalizations of $P_\omega$-closedness and associated concepts have also been investigated.
2000 Mathematics Subject Classification. 54D20, 54D25, 54D99, 54A20 |
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| ISSN: | 1840-0655 2233-1964 |
| DOI: | 10.5644/SJM.07.2.14 |