On some low separation axioms in bitopological spaces - doi: 10.5269/bspm.v24i1-2.7440

Résumé

Recently, in 2003, Caldas et al. [1] introduced the notions of \Gamma_{\delta}-T_i and\Gamma_{\delta}-R_i topological spaces for i = 1; 2 as a version of the known notions of T_i and R_i (i = 1; 2) topological spaces [8] and [2]. In this paper, we extend \Gamma_{\delta}-T_i and \Gamma_{\delta}-R_i to bitopological spaces for i = 1; 2 and define the notions of pairwise \Gamma_{\delta}-T_i and \Gamma_{\delta}-R_i bitopological spaces for i = 1; 2. In this context, we study some of the fundamental properties of such spaces. Moreover, we investigate their relationship to some other known separation axioms.