Closure Operators in Semiuniform Convergence Spaces

Mehmet Baran, Sumeyye Kula, T. M. Baran, M. Qasim

In this paper, the characterization of closed and strongly closed subobjects of an object in category of semiuniform convergence spaces is given and it is shown that they induce a notion of closure which enjoy the basic properties like idempotency, (weak) hereditariness, and productivity in the category of semiuniform convergence spaces. Furthermore, $T_1$ semiuniform convergence spaces with respect to these two new closure operators are characterized.