$P_\omega$-closedness and its Generalization With Respect to a Grill
DOI:
https://doi.org/10.5644/SJM.07.2.14Keywords:
p-closed, pre-$\omega$-open, $P_\omega$-closed, quasi-H-$\omega$-closed, pre-$\omega$-compact, $\omega$-$\kappa$-extremally disconnected, weakly $T_2$, grill, strongly pre-$\omega$-regularAbstract
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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