Abstract
The present study aims to provide an overview and explore the new class of closed map and open map is termed as semi star pre star closed map (Briefly s*p*closed map), semi star pre star open map (Briefly s*p*open map) and some of its characterizations are studied. More over semi star pre star homeomorphism (Briefly s*p*Homeomorphism) in topological spaces is defined via s*p*open map and s*p*continuous map and to get a few of their specific features. Also, compared with existing one.
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