Closure operators and connectedness in bounded uniform filter spaces

In this paper, we characterize both closed and strongly subobjects in the category of bounded uniform filter spaces introduce two notions closure operators which satisfy weakly hereditary, idempotent productive properties. We further each Tj (j= 0,1) using these examine that them form quotient-reflective subcategories spaces. Also, connected Finally, ultraconnected objects topological relationship among irreducible,