GENERALIZED δ- SEMICLOSED SETS IN BITOPOLOGICAL SPACES | ||
| Assiut University Journal of Multidisciplinary Scientific Research | ||
| Volume 45, Issue 1, June 2016, Pages 1-17 PDF (510.58 K) | ||
| Document Type: Novel Research Articles | ||
| DOI: 10.21608/aunj.2016.221628 | ||
| Abstract | ||
| In this paper we introduce and study ij -gδ s -closed sets and study some of its properties and its relations with other kinds of generalized closed sets in bitopological spaces. Using these sets we obtain a characterization of pairwise 34 T spaces. Also we introduce the concepts of pairwise gδs- continuous and pairwise gδs- irresolute functions. Finally we define the concept of pairwise gδsc-homeomorphism and prove that the set of all pairwise gδsc- homeomorphisms from (X ,τ1,τ2) onto itself has a group structure under the composition. | ||
| Keywords | ||
| ij δg- s closed set; ij- gδs -open sets; pairwise gδs- continuous functions; of pairwise T spaces | ||
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