TY - JOUR AU - Tokat, Deniz AU - Osmanoğlu, İsmail PY - 2016 TI - Some properties of the quasicompact-open topology on C(X) JO - Journal of Nonlinear Sciences and Applications SP - 3511--3518 VL - 9 IS - 6 AB - 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). SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.06.06 DO - 10.22436/jnsa.009.06.06 ID - Tokat2016 ER - TY - JOUR TI - Countably z-compact spaces AU - A. T. Al-Ani JO - Arch. Math. (Brno) PY - 2014 DA - 2014// VL - 50 ID - Al-Ani2014 ER - TY - JOUR TI - A topology for spaces of transformations AU - R. F. Arens JO - Ann. of Math. PY - 1946 DA - 1946// VL - 47 ID - Arens1946 ER - TY - JOUR TI - Topologies for function spaces AU - R. Arens AU - J. Dugundji JO - Pacific J. Math. PY - 1951 DA - 1951// VL - 1 ID - Arens1951 ER - TY - JOUR TI - Quasicompactness and functionally Hausdorff spaces AU - A. J. D'Aristotle JO - J. Aust. Math. Soc. PY - 1973 DA - 1973// VL - 15 ID - D'Aristotle1973 ER - TY - BOOK TI - General Topology, revised and completed ed. AU - R. Engelking PB - Heldermann Verlag PY - 1989 DA - 1989// CY - Berlin ID - Engelking1989 ER - TY - JOUR TI - On topologies for function spaces AU - R. H. Fox JO - Bull. Amer. Math. Soc. PY - 1945 DA - 1945// VL - 51 ID - Fox1945 ER - TY - JOUR TI - Generalization of compact and Lindelöf spaces AU - Z. Frolik JO - Czechoslovak Math. J. PY - 1959 DA - 1959// VL - 13 ID - Frolik1959 ER - TY - BOOK TI - Rings of continuous functions AU - L. Gillman AU - M. Jerison PB - Springer-Verlag PY - 1960 DA - 1960// CY - New York ID - Gillman1960 ER - TY - JOUR TI - The \(\sigma\)-compact-open topology and its relatives AU - D. Gulick JO - Math. Scand. PY - 1972 DA - 1972// VL - 30 ID - Gulick1972 ER - TY - JOUR TI - Developability and some new regularity axioms AU - N. C. Heldermann JO - Can. J. Math. PY - 1981 DA - 1981// VL - 33 ID - Heldermann 1981 ER - TY - JOUR TI - On two problems of Urysohn AU - E. Hewitt JO - Ann. of Math. PY - 1946 DA - 1946// VL - 47 ID - Hewitt1946 ER - TY - JOUR TI - Comparison of topologies on function spaces AU - J. R. Jackson JO - Proc. Amer. Math. Soc. PY - 1952 DA - 1952// VL - 3 ID - Jackson1952 ER - TY - JOUR TI - A class of spaces containing all generalized absolutely closed (almost compact) spaces AU - J. K. Kohli AU - A. K. Das JO - Appl. Gen. Topol. PY - 2006 DA - 2006// VL - 7 ID - Kohli2006 ER - TY - JOUR TI - Between compactness and quasicompactness AU - J. K. Kohli AU - D. Singh JO - Acta Math. Hungar. PY - 2005 DA - 2005// VL - 106 ID - Kohli2005 ER - TY - JOUR TI - The pseudocompact-open topology on C(X) AU - S. Kundu AU - P. Garg JO - Topology Proc. PY - 2006 DA - 2006// VL - 30 ID - Kundu2006 ER - TY - JOUR TI - The bounded-open topology and its relatives AU - S. Kundu AU - A. B. Raha JO - Rend. Istit. Mat. Univ. Trieste PY - 1995 DA - 1995// VL - 27 ID - Kundu1995 ER - TY - JOUR TI - \(G_\delta\)-diagonals and metrization theorems AU - W. G. McArthur JO - Pacific J. Math. PY - 1973 DA - 1973// VL - 44 ID - McArthur1973 ER - TY - JOUR TI - Second countable and separable function spaces AU - R. A. McCoy JO - Amer. Math. Monthly PY - 1978 DA - 1978// VL - 85 ID - McCoy1978 ER - TY - BOOK TI - Topological Properties of Spaces of Continuous Functions AU - R. A. McCoy AU - I. Ntantu PB - Springer-Verlag PY - 1988 DA - 1988// CY - Berlin ID - McCoy1988 ER - TY - JOUR TI - The C-compact-open topology on function spaces AU - A. V. Osipov JO - Topology Appl. PY - 2012 DA - 2012// VL - 159 ID - Osipov2012 ER - TY - BOOK TI - Foundations of general topology AU - W. J. Pervin PB - Academic Press PY - 1964 DA - 1964// CY - New York ID - Pervin1964 ER - TY - BOOK TI - Counter Examples in Topology AU - L. A. Steen AU - J. A. Seebach PB - Springer Verlag PY - 1978 DA - 1978// CY - New York ID - Steen1978 ER - TY - BOOK TI - Introduction to Functional Analysis, 2nd ed. AU - A. E. Taylor AU - D. C. Lay PB - John Wiley & Sons PY - 1980 DA - 1980// CY - New York ID - Taylor1980 ER -