Nonstandard analysis in topology: nonstandard and standard compactifications
Copyright policy )Nonstandard analysis in topology: nonstandard and standard compactifications
AbstractLet (X, T) be a topological space and *X a nonstandard extension of X. Sets of the form *G. where G ∈ T, form a base for the “standard” topology ST on *X. The topological space (*X, ST) will be used to study compactifications of (X, T) in a systematic way.
- University of South Africa South Africa
- California Polytechnic State University United States
compactifications, supresober spaces, 03C90, 03H05, 54J05, 54D35, 54D60, Nonstandard topology, Nonstandard models in mathematics, General Topology (math.GN), monads, Mathematics - Logic, standard topology, 530, S-topology, non–standard extension, 510, Extensions of spaces (compactifications, supercompactifications, completions, etc.), Realcompactness and realcompactification, FOS: Mathematics, Special constructions of topological spaces (spaces of ultrafilters, etc.), Logic (math.LO), Mathematics, Mathematics - General Topology
compactifications, supresober spaces, 03C90, 03H05, 54J05, 54D35, 54D60, Nonstandard topology, Nonstandard models in mathematics, General Topology (math.GN), monads, Mathematics - Logic, standard topology, 530, S-topology, non–standard extension, 510, Extensions of spaces (compactifications, supercompactifications, completions, etc.), Realcompactness and realcompactification, FOS: Mathematics, Special constructions of topological spaces (spaces of ultrafilters, etc.), Logic (math.LO), Mathematics, Mathematics - General Topology
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