SEPARATED, DISCONNECTED AND COMPACT SETS IN BIGENERALIZED TOPOLOGICAL SPACES
Keywords:
Bigeneralized topological spaces, separated sets, connected sets, disconnected sets, compact setsAbstract
In recent year, the study of bigeneralized space, which is provided with two arbitrary generalized topologies, have received increasing attention in general topology. Several mathematician have studied this concept in many direction. In this paper we introduced the concept of separated, disconnected and compact sets in bigeneralized topological spaces.
References
Boonpok, C. (2010). Weakly Open Functions on Bigeneralized Topological Spaces. Int. J. Math. Anal., 4(18):891-897.
Csacute{a}szacute{a}r, acute{A.} (2002). Generalized Topology, Generalized Continuity. Acta Math. Hung., 96(4):351-357.
Csacute{a}szacute{a}r, acute{A.} (2005). Generalized Open Sets in Generalized Topologies. Acta Math. Hung., 106(1-2):53-66.
Dungthaisong, W., Boonpok, C. and Viriyapong, C. (2011). Generalized Closed Sets in Bigeneralized Topological Spaces. Int. J. Math. Anal., 5(24): 1,175-1,184.
Jamunarani, R. and Jeyanthi, P. (2012). Regular Sets in Generalized Topological Spaces. Acta Math. Hung., 135(4):342-349.
Min, W.K. (2009a). Almost Continuity on Generalized Topological Spaces. Acta Math. Hung., 125(1-2): 121-125.
Min, W.K. (2009b). Weak Continuity on Generalized Topological Spaces. Acta Math. Hung., 124(1-2): 73-81.
Sompong, S. and Rodjanadid, B. (2016). Neighborhood and Accumulation Points on Bigeneralized Topological Spaces. Far East J. Math. Sci., 100(1):65-79.
