Compactness, Perfectness, Separation, Minimality and Closedness with Respect to Closure Operators |
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| Authors: | Mehmet Baran |
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| Institution: | (1) Department of Mathematics, Erciyes University, Kayseri, 38039, Turkey |
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| Abstract: | In this paper, the characterization of closed and strongly closed subobjects of an object in categories of various types of filter convergence spaces is given and it is shown that they induce a notion of closure. Furthermore, each of the notions of compactness, perfectness, separation, minimality and absolute closedness with respect to these two new closure operators are characterized in these categories and some known results are re-obtained. |
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| Keywords: | closure operator topological category convergence spaces limit spaces compact objects perfect morphism |
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