Sobriety of crisp and fuzzy topological spaces

by Jacot-Guillarmod, Paul Frederic

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.