Sobriety of crisp and fuzzy topological spaces

Jacot-Guillarmod, Paul Frederic (2004) Sobriety of crisp and fuzzy topological spaces. Masters thesis, Rhodes University.

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Abstract

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 briefly examine semi-sobriety of (L; M)-topological spaces.

Item Type:Thesis (Masters)
Uncontrolled Keywords:Sober, Sobriety, Semi-sobriety, -sober, Strongly sober, Ultrasober, Topological spaces
Subjects:Y Unknown > Subjects to be assigned
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
ID Code:105
Deposited By: Mr François Jacot-Guillarmod
Deposited On:01 Aug 2005
Last Modified:06 Jan 2012 16:17
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