New separation axioms in generalized bitopological spaces

Here, we have studied the ideas of ( s ,  t )- g ρ and ( s ,  t )- λ ρ -closed sets ( s , t = 1 , 2 ; s ≠ t ) and pairwise λ -closed sets in a generalized bitopological space ( X , ρ 1 , ρ 2 ) . We have investigated the properties on some new separation axioms namely pairwise T 1 4 , pairwise T 3 8...

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Veröffentlicht in:Mathematical Sciences 2020-06, Vol.14 (2), p.185-192
Hauptverfasser: Banerjee, Amar Kumar, Pal, Jagannath
Format: Artikel
Sprache:eng
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Zusammenfassung:Here, we have studied the ideas of ( s ,  t )- g ρ and ( s ,  t )- λ ρ -closed sets ( s , t = 1 , 2 ; s ≠ t ) and pairwise λ -closed sets in a generalized bitopological space ( X , ρ 1 , ρ 2 ) . We have investigated the properties on some new separation axioms namely pairwise T 1 4 , pairwise T 3 8 , pairwise T 5 8 and have established mutual relations with pairwise T 0 , pairwise T 1 2 and pairwise T 1 . Also we have shown that under certain conditions, these axioms are equivalent.
ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-020-00330-z