296 research outputs found
-quasicontinuous spaces
In this paper, as a common generalization of -continuous spaces and
-quasicontinuous posets, we introduce the concepts of
-quasicontinuous spaces and -convergence of nets for
arbitrary topological spaces by the cuts. Some characterizations of
-quasicontinuity of spaces are given. The main results are: (1) a space
is -quasicontinuous if and only if its weakly irreducible topology is
hypercontinuous under inclusion order; (2) A space is
-quasicontinuous if and only if the -convergence in
is topological
Sobriety of crisp and fuzzy topological spaces
The objective of this thesis is a survey of crisp and fuzzy sober topological spaces. We begin by examining sobriety of crisp topological spaces. We then extend this to the L- topological case and obtain analogous results and characterizations to those of the crisp case. We then brie y examine semi-sobriety of (L;M)-topological spaces
Sobriety of crisp and fuzzy topological spaces
The objective of this thesis is a survey of crisp and fuzzy sober topological spaces. We begin by examining sobriety of crisp topological spaces. We then extend this to the L- topological case and obtain analogous results and characterizations to those of the crisp case. We then brie y examine semi-sobriety of (L;M)-topological spaces
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