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Closure operators in semiuniform convergence spaces
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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, T1 semiuniform convergence
spaces with respect to these two new closure operators are characterized.
Title: Closure operators in semiuniform convergence spaces
Description:
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, T1 semiuniform convergence
spaces with respect to these two new closure operators are characterized.
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