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Local T_2 Constant Filter Convergence Spaces

Yıl 2018, Cilt: 10, 88 - 94, 29.12.2018

Öz

The aim of this paper is to characterize local Hausdorff constant filter convergence spaces and show that they are hereditary, productive and coproductive.

Kaynakça

  • 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.
  • Bourbaki, N., Topologie generale. Chapitre 1 et 2. Actualites Sci. Ind., 1940.
  • 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.
  • 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.
Yıl 2018, Cilt: 10, 88 - 94, 29.12.2018

Öz

Kaynakça

  • 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.
  • Bourbaki, N., Topologie generale. Chapitre 1 et 2. Actualites Sci. Ind., 1940.
  • 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.
  • 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.
Toplam 36 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Ayhan Erciyes 0000-0002-0942-5182

Tesnim Meryem Baran Bu kişi benim

Yayımlanma Tarihi 29 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 10

Kaynak Göster

APA Erciyes, A., & Baran, T. M. (2018). Local T_2 Constant Filter Convergence Spaces. Turkish Journal of Mathematics and Computer Science, 10, 88-94.
AMA Erciyes A, Baran TM. Local T_2 Constant Filter Convergence Spaces. TJMCS. Aralık 2018;10:88-94.
Chicago Erciyes, Ayhan, ve Tesnim Meryem Baran. “Local T_2 Constant Filter Convergence Spaces”. Turkish Journal of Mathematics and Computer Science 10, Aralık (Aralık 2018): 88-94.
EndNote Erciyes A, Baran TM (01 Aralık 2018) Local T_2 Constant Filter Convergence Spaces. Turkish Journal of Mathematics and Computer Science 10 88–94.
IEEE A. Erciyes ve T. M. Baran, “Local T_2 Constant Filter Convergence Spaces”, TJMCS, c. 10, ss. 88–94, 2018.
ISNAD Erciyes, Ayhan - Baran, Tesnim Meryem. “Local T_2 Constant Filter Convergence Spaces”. Turkish Journal of Mathematics and Computer Science 10 (Aralık 2018), 88-94.
JAMA Erciyes A, Baran TM. Local T_2 Constant Filter Convergence Spaces. TJMCS. 2018;10:88–94.
MLA Erciyes, Ayhan ve Tesnim Meryem Baran. “Local T_2 Constant Filter Convergence Spaces”. Turkish Journal of Mathematics and Computer Science, c. 10, 2018, ss. 88-94.
Vancouver Erciyes A, Baran TM. Local T_2 Constant Filter Convergence Spaces. TJMCS. 2018;10:88-94.