COMPLETIONS OF PRODUCTS OF METRIC SPACES
Copyright policy )COMPLETIONS OF PRODUCTS OF METRIC SPACES
Completeness and completions are described for spaces from the epireflective hull of pseudometric spaces (infinite values are allowed) in approach spaces. For metric spaces they coincide with the known concepts; every completely regular space is complete. The properties of complete spaces and of completions are shown to be analogous to those of metric spaces.
- University of Antwerp Belgium
Extensions of spaces (compactifications, supercompactifications, completions, etc.), Metric spaces, metrizability, approach spaces, epireflective hull, Categorical methods in general topology, Categories of topological spaces and continuous mappings, Mathematics
Extensions of spaces (compactifications, supercompactifications, completions, etc.), Metric spaces, metrizability, approach spaces, epireflective hull, Categorical methods in general topology, Categories of topological spaces and continuous mappings, Mathematics
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