The aim of this paper is to characterize local Hausdorff constant filter convergence spaces and show that they are hereditary, productive and coproductive.
Adamek, J., Herrlich, H., Strecker, G.E., Abstract and Concrete Categories, New York, USA: Wiley, 1990.
Baran, M., Separation Properties, Indian J. Pure Appl. Math., 23(1991), 333–341.
Baran, M., The notion of closedness in topological categories, Comment. Math. Univ. Carolinae, 34(1993), 383–395.
Baran, M., Separation Properties In Category Of Stack Convergence Spaces, Turkish Journal of Mathematics, 17(1993), 55–62.
Baran, M., Generalized Local Separation Properties, Indian J. pure appl. 25(1994), 615–620.
Baran, M., Separation Properties In Categories Of Constant Convergence Spaces, Turkish Journal of Mathematics, 18(1994), 238–248.
Baran M. and Altindis, H., T0-Objects in Topological Categories, J. Univ. Kuwait (Sci) Math. Hungar. 22(1995), 123–127.
Baran M. and Altindis, H., T2-Objects in Topological Categories, Acta Math. Hungar. 71(1996), 41–48.
Baran, M., Separation properties in topological categories, Math Balkanica 10(1996), 39–48.
Baran, M., T3 and T4-Objects In Topological Categories, Indian J. Pure Appl. Math., 29(1998), 59–69.
Baran, M., Completely regular objects and normal objects in topological categories, Acta Math. Hungar 1998; 80: 211-224.
Baran, M., Closure operators in convergence spaces, Acta Math. Hungar. 87(2000), 33–45.
Baran, M., Compactness, perfectness, separation, minimality and closedness with respect to closure operators, Applied Categorical Structures, 10(2002), 403–415.
Baran, M., PreT2 Objects In Topological Categories, Appl. Categor. Struct., 17(2009), 591–602.
Baran, M. and Al-Safar, J., Quotient-Reflective and Bireflective Subcategories of the category of Preordered Sets, Topology and its Appl., 158(2011), 2076–2084.
Baran, M. Kula, S., Baran, T. M., and Qasim, M., Closure operators in semiuniform convergence space, Filomat, 30 (2016), 131–140.
Cook, H.C., and Fisher, H.R., On equicontinuity and continuous convergence, Math. Ann. 159(1965), 94–104.
Dikranjan, D. and Giuli, E., Closure operators I, Topology and its Appl., 27(1987), 129–143.
Dikranjan, D. and Tholen W., Categorical Structure of Closure Operators: with Applications to Topology, Algebra and Discrete Mathematics, Kluwer Academic Publishers, Dordrecht, 1995.
Erciyes, A., Baran, M., Local Pre-Hausdor_ Constant Filter Convergence Spaces, Turk. J. Math. Comput. Sci. 2018.
Fischer, H.R., Limesraume, Math. Ann. 137(1959), 269–303.
Herrlich, H., Topological functors, Gen Topology Appl 4(1974), 125–142.
Johnstone, P.T., Topos Theory, L.M.S Mathematics Monograph: No. 10. Academic, New York 1977.
Kent, D.C., Convergence functions and their related topologies, Fund. Math. 54(1964), 125–133.
Kowalsky, H.J., Beitrage zur topologischen algebra, Math. Nachrichten 11(1954), 143–185.
MacLane, S., Moerdijk, I., Sheaves in Geometry and Logic., Springer, New York, 1992.
Lowen-Colebunders, E., Function Classes of Cauchy Continuous Maps, New York USA; Marcel Dekker Inc, 1989.
Nel, L.D., Initially structured categories and cartesian closedness, Canadian J.Math., 27(1975), 1361–1377.
Preuss, G., Theory of Topological Structures, An Approach to Topological Categories, Dordrecht; D Reidel Publ Co, 1988.
Preuss, G., Foundations of topology, An approach to Convenient topology, Kluwer Academic Publishers, Dordrecht, 2002.
Robertson, W., Convergence as a nearness concept, Ph.D. thesis, University of Ottawa at Carleton, 1975.
Schwarz, F. Hannover, TU., Connections Between Convergence And Nearness, The series Lecture Notes in Mathematics, 719(1979), 345–357.
Adamek, J., Herrlich, H., Strecker, G.E., Abstract and Concrete Categories, New York, USA: Wiley, 1990.
Baran, M., Separation Properties, Indian J. Pure Appl. Math., 23(1991), 333–341.
Baran, M., The notion of closedness in topological categories, Comment. Math. Univ. Carolinae, 34(1993), 383–395.
Baran, M., Separation Properties In Category Of Stack Convergence Spaces, Turkish Journal of Mathematics, 17(1993), 55–62.
Baran, M., Generalized Local Separation Properties, Indian J. pure appl. 25(1994), 615–620.
Baran, M., Separation Properties In Categories Of Constant Convergence Spaces, Turkish Journal of Mathematics, 18(1994), 238–248.
Baran M. and Altindis, H., T0-Objects in Topological Categories, J. Univ. Kuwait (Sci) Math. Hungar. 22(1995), 123–127.
Baran M. and Altindis, H., T2-Objects in Topological Categories, Acta Math. Hungar. 71(1996), 41–48.
Baran, M., Separation properties in topological categories, Math Balkanica 10(1996), 39–48.
Baran, M., T3 and T4-Objects In Topological Categories, Indian J. Pure Appl. Math., 29(1998), 59–69.
Baran, M., Completely regular objects and normal objects in topological categories, Acta Math. Hungar 1998; 80: 211-224.
Baran, M., Closure operators in convergence spaces, Acta Math. Hungar. 87(2000), 33–45.
Baran, M., Compactness, perfectness, separation, minimality and closedness with respect to closure operators, Applied Categorical Structures, 10(2002), 403–415.
Baran, M., PreT2 Objects In Topological Categories, Appl. Categor. Struct., 17(2009), 591–602.
Baran, M. and Al-Safar, J., Quotient-Reflective and Bireflective Subcategories of the category of Preordered Sets, Topology and its Appl., 158(2011), 2076–2084.
Baran, M. Kula, S., Baran, T. M., and Qasim, M., Closure operators in semiuniform convergence space, Filomat, 30 (2016), 131–140.
Cook, H.C., and Fisher, H.R., On equicontinuity and continuous convergence, Math. Ann. 159(1965), 94–104.
Dikranjan, D. and Giuli, E., Closure operators I, Topology and its Appl., 27(1987), 129–143.
Dikranjan, D. and Tholen W., Categorical Structure of Closure Operators: with Applications to Topology, Algebra and Discrete Mathematics, Kluwer Academic Publishers, Dordrecht, 1995.
Erciyes, A., Baran, M., Local Pre-Hausdor_ Constant Filter Convergence Spaces, Turk. J. Math. Comput. Sci. 2018.
Fischer, H.R., Limesraume, Math. Ann. 137(1959), 269–303.
Herrlich, H., Topological functors, Gen Topology Appl 4(1974), 125–142.
Johnstone, P.T., Topos Theory, L.M.S Mathematics Monograph: No. 10. Academic, New York 1977.
Kent, D.C., Convergence functions and their related topologies, Fund. Math. 54(1964), 125–133.
Kowalsky, H.J., Beitrage zur topologischen algebra, Math. Nachrichten 11(1954), 143–185.
MacLane, S., Moerdijk, I., Sheaves in Geometry and Logic., Springer, New York, 1992.
Lowen-Colebunders, E., Function Classes of Cauchy Continuous Maps, New York USA; Marcel Dekker Inc, 1989.
Nel, L.D., Initially structured categories and cartesian closedness, Canadian J.Math., 27(1975), 1361–1377.
Preuss, G., Theory of Topological Structures, An Approach to Topological Categories, Dordrecht; D Reidel Publ Co, 1988.
Preuss, G., Foundations of topology, An approach to Convenient topology, Kluwer Academic Publishers, Dordrecht, 2002.
Robertson, W., Convergence as a nearness concept, Ph.D. thesis, University of Ottawa at Carleton, 1975.
Schwarz, F. Hannover, TU., Connections Between Convergence And Nearness, The series Lecture Notes in Mathematics, 719(1979), 345–357.