Strongly k-spaces

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎Faculty of Arts and Sciences‎, ‎Sakarya University‎, ‎Sakarya‎, ‎54187‎, ‎Turkey.

2 Department of Mathematics, Faculty of Arts and Sciences, Sakarya University, Sakarya, 54187 TURKEY

Abstract

‎In this paper‎, ‎we introduce the notion of strongly $k-$spaces (with the weak (=finest) pre-topology generated by their strongly compact subsets)‎. ‎We characterize the strongly $k-$spaces and investigate the relationships between preclosedness‎, ‎locally strongly compactness‎, ‎pre-first countableness and being strongly $k-$space.

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Main Subjects


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