Local Pre-Hausdorff Constant Filter Convergence Spaces
Yıl 2018 ,
Cilt: 10, 82 - 87, 29.12.2018
Ayhan Erciyes
,
Mehmet Baran
Öz
The aim of this paper is to characterize local pre-Hausdorff constant filter convergence spaces and give some invariance properties of them.
Kaynakça
Adamek, J., Herrlich, H., Strecker, GE., Abstract and Concrete Categories, New York, USA: Wiley, 1990.
Baran, M., Separation Properties, Indian J. Pure Appl. Math., 23(1991), 333–341.
Baran, M., Stacks and Filters, Doga-Tr. J. of Mathematics 16(1992), 95–108.
Baran, M., Separation Properties In Category Of Stack Convergence Spaces, Turkish Journal of Mathematics, 17(1993), 55–62.
Baran, M., Separation Properties In Categories Of Constant Convergence Spaces, Turkish Journal of Mathematics, 18(1994), 238–248.
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., T2-Objects in Categories Of Filter And Local Filter Convergence Spaces, Turkish Journal of Mathematics, 17(1996), 159–168.
Baran, M., T3 and T4-Objects In Topological Categories, Indian J. Pure Appl. Math., 29(1998), 59–69.
Baran, M., PreT2 Objects In Topological Categories, Appl. Categor. Struct., 17(2009), 591–602.
Cartan, H., Filtres et ultrafiltres, CR Acad. Paris, 205(1937), 777–779.
Cartan, H., Th´eorie des filtres, CR Acad. Paris, 205(1937), 595–598.
Choquet, G.,Convergences, Ann. Univ. Grenoble Sect. Sci. Math. Phys. (NS) 23.(1948), 57–112.
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.
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.
Mielke, M.V., Hausdor_ Separations and Decidability, Symposium on Categorical Topology, University of Cape Town, Rondebosch, (1999), 155–160.
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.
Royden, H. L., Real Analysis, Macmillan Publishing Co., Inc., 1968.
Schwarz, F. Hannover, TU., Connections Between Convergence And Nearness, The series Lecture Notes in Mathematics, 719(1979), 345–357.
Stine, J. Mielke, M.V., Pre-Hausdor_ Spaces, Publ. Math. Debrecen, 73(2008), 379–390.
Yıl 2018 ,
Cilt: 10, 82 - 87, 29.12.2018
Ayhan Erciyes
,
Mehmet Baran
Kaynakça
Adamek, J., Herrlich, H., Strecker, GE., Abstract and Concrete Categories, New York, USA: Wiley, 1990.
Baran, M., Separation Properties, Indian J. Pure Appl. Math., 23(1991), 333–341.
Baran, M., Stacks and Filters, Doga-Tr. J. of Mathematics 16(1992), 95–108.
Baran, M., Separation Properties In Category Of Stack Convergence Spaces, Turkish Journal of Mathematics, 17(1993), 55–62.
Baran, M., Separation Properties In Categories Of Constant Convergence Spaces, Turkish Journal of Mathematics, 18(1994), 238–248.
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., T2-Objects in Categories Of Filter And Local Filter Convergence Spaces, Turkish Journal of Mathematics, 17(1996), 159–168.
Baran, M., T3 and T4-Objects In Topological Categories, Indian J. Pure Appl. Math., 29(1998), 59–69.
Baran, M., PreT2 Objects In Topological Categories, Appl. Categor. Struct., 17(2009), 591–602.
Cartan, H., Filtres et ultrafiltres, CR Acad. Paris, 205(1937), 777–779.
Cartan, H., Th´eorie des filtres, CR Acad. Paris, 205(1937), 595–598.
Choquet, G.,Convergences, Ann. Univ. Grenoble Sect. Sci. Math. Phys. (NS) 23.(1948), 57–112.
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.
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.
Mielke, M.V., Hausdor_ Separations and Decidability, Symposium on Categorical Topology, University of Cape Town, Rondebosch, (1999), 155–160.
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.
Royden, H. L., Real Analysis, Macmillan Publishing Co., Inc., 1968.
Schwarz, F. Hannover, TU., Connections Between Convergence And Nearness, The series Lecture Notes in Mathematics, 719(1979), 345–357.
Stine, J. Mielke, M.V., Pre-Hausdor_ Spaces, Publ. Math. Debrecen, 73(2008), 379–390.
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