On semi generalized star $b$ - Connectedness and semi generalized star $b$ - Compactness in Topological Spaces

S. Sekar a,∗ and B. Jothilakshmi b

On semi generalized star $b$ - Connectedness and semi generalized star $b$ - Compactness in Topological Spaces

Authors :

S. Seka^{r a,∗} and B. Jothilakshmi^b

Author Address :

^a Department of Mathematics, Government Arts College (Autonomous), Salem – 636 007, Tamil Nadu, India.
^bDepartment of Mathematics, Government Arts College (Autonomous), Coimbatore – 641 045, Tamil Nadu, India.

*Corresponding author

Abstract :

In this paper, the authors introduce a new type of connected spaces called semi \linebreak generalized star $b$ - connected spaces (briefly $sg^*b$-connected spaces) in topological spaces. The notion of semi generalized star $b$ - compact spaces is also introduced (briefly $sg^*b$-compact spaces) in topological spaces. Some characterizations and several properties concerning $sg^*b$-connected spaces and $sg^*b$-compact spaces are obtained.

Keywords :

$sg^*b$-closed sets, $sg^*b$-closed map, $sg^*b$-continuous map, contra $sg^*b$-continuity.

DOI :

Article Info :

Received : December 07, 2016; Accepted : December 23, 2016.