Fuzzy convergence: open and proper maps
Copyright policy )Fuzzy convergence: open and proper maps
The authors define proper and open maps between probabilistic convergence spaces and study an extension of these concepts to fuzzy convergence spaces. They show that proper maps are productive and preserve closure, regularity and local precompactness, that open maps are finitely productive and preserve neighbourhoods, that projection maps are open, but quotient maps, in general, not.
- University of Central Florida United States
Statistics &, coproduct, Theory & Methods, Special maps on topological spaces (open, closed, perfect, etc.), fuzzy maps, COMPACTNESS, fuzzy convergence, Fuzzy maps, product, probabilistic convergence, functor, Probability, Fuzzy topology, regular, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), Categories of topological spaces and continuous mappings, fuzzy filter, TOPOLOGICAL-SPACES, Probabilistic convergence, Fuzzy convergence, Computer Science, Applied, precompact, Mathematics
Statistics &, coproduct, Theory & Methods, Special maps on topological spaces (open, closed, perfect, etc.), fuzzy maps, COMPACTNESS, fuzzy convergence, Fuzzy maps, product, probabilistic convergence, functor, Probability, Fuzzy topology, regular, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), Categories of topological spaces and continuous mappings, fuzzy filter, TOPOLOGICAL-SPACES, Probabilistic convergence, Fuzzy convergence, Computer Science, Applied, precompact, Mathematics
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