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Extensionable topological hulls and topological universe hulls inside the category of pseudo-topological spaces. (English) Zbl 0697.54008
Summary: The paper investigates the extensionable topological hulls and topological universe hulls of finally dense subcategories of the category PsT of pseudotopological spaces. In case of the extensionable topological hull, upper and lower bounds are given. It is shown that formation of the topological universe hull always leads to the category PsT. The results are applied to epireflective subcategories of the pretopological spaces.

MSC:
54B30 Categorical methods in general topology
54A05 Topological spaces and generalizations (closure spaces, etc.)
18B30 Categories of topological spaces and continuous mappings (MSC2010)
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
18B15 Embedding theorems, universal categories
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