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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ISRP Style

Deniz Tokat, İsmail Osmanoğlu, Some properties of the quasicompact-open topology on C(X) , Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 3511--3518

AMA Style

Tokat Deniz, Osmanoğlu İsmail, Some properties of the quasicompact-open topology on C(X) . J. Nonlinear Sci. Appl. (2016); 9(6):3511--3518

Chicago/Turabian Style

Tokat, Deniz, Osmanoğlu, İsmail. "Some properties of the quasicompact-open topology on C(X) ." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 3511--3518


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