On some new classes of compact-like bitopological spaces

In this paper, we have introduced a new type of covering property βt(ωr,s)-closedness, stronger than Pt(ωr,s)-closedness [3] in terms of (r,s)-β-open sets [9] and β-ωt-closures in bitopological spaces along with its several characterizations via filter bases and grills [15] and various properties. Further grill generalizations of βt(ωr,s)-closedness (namely, βt(ωr,s)-closedness modulo grill) and associated concepts have also been investigated.