Compactness, perfectness, separation, minimality and closedness with respect to closure operators (Q698053)
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scientific article; zbMATH DE number 1802377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compactness, perfectness, separation, minimality and closedness with respect to closure operators |
scientific article; zbMATH DE number 1802377 |
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Compactness, perfectness, separation, minimality and closedness with respect to closure operators (English)
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18 September 2002
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In two earlier papers, the author introduced the notions of closedness and strong closedness [cf. Indian J. Pure Appl. Math. 23, 333-341 (1992; Zbl 0767.54014); Commentat. Math. Univ. Carol. 34, 383-395 (1993; Zbl 0780.18003)] for set-based topological categories. In this paper, the author characterizes closed and strong closed subobjects of an object in the categories of limit spaces and pretopological spaces and show that they form closure operators. Some basic properties of these two closure operators are investigated.
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closure operator
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topological category
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convergence space
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limit space
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compact objects
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perfect morphism
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