Some properties of the quasicompact-open topology on C(X)


Authors

Deniz Tokat - Department of Mathematics, Faculty of Arts and Sciences, Nevsehir Hacı Bektas Veli University, 50300 Nevsehir, Turkey. İsmail Osmanoğlu - Department of Mathematics, Faculty of Arts and Sciences, Nevsehir Hacı Bektas Veli University, 50300 Nevsehir, Turkey.


Abstract

This paper introduces quasicompact-open topology on C(X) and compares this topology with the compact-open topology and the topology of uniform convergence. Then it examines submetrizability, metrizability, separability, and second countability of the quasicompact-open topology on C(X).


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