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Local T0 Filter Convergence Spaces

Year 2018, Volume: 10, 56 - 60, 29.12.2018
https://izlik.org/JA74TJ78JE

Abstract

In this paper, we characterize each of local T0 filter convergence spaces and investigate the relationships
between these local T0 filter convergence spaces as well as give some invariance properties of them

References

  • 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., Altındis¸, 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., Completely regular objects and normal objects in topological categories, Acta Math Hungar 80(1998), 211–224.
  • Baran, M., T3 and T4 -objects in topological categories, Indian J Pure Appl Math. 29(1998), 59–69.
  • Baran, M. Kula, S., and Erciyes, A., T0 and T1 semiuniform convergence space, Filomat, 27(2013), 537–546.
  • Baran, T. M., Local T0 pseudo-quasi-semi metric spaces, Proceedings of 1st International Mediterranean Science and Engineering Congress (IMSEC 2016) Çukurova University, Congress Center, October 26-28, 2016, Adana / TURKEY, 286–291.
  • Birkho_, G., A new definition of limit, Bull. Amer. Math. Soc., 41(1935), 636.
  • Cartan, H., Filtres et ultrafiltres, CR Acad. Paris, 205(1937), 777–779.
  • Cartan, H., Theorie des filtres, CR Acad. Paris, 205(1937), 595–598.
  • Cook, H.C., and Fisher, H.R., On equicontinuity and continuous convergence, Math. Ann. 159(1965), 94–104.
  • Göhler, W., Convergence structures-historical remarks and the monadic approach, Bremen Mathematik Arbeitspapiere, 48(1997), 171–193.
  • Herrlich, H., Topological functors, Gen Topology Appl 4(1974), 125-142.
  • Johnstone, PT., Topos Theory, L.M.S Mathematics Monograph: No. 10 New York UAS; Academic Press, 1977.
  • Kent, D.C., Convergence functions and their related topologies, Fund. Math. 54(1964), 125–133.
  • Kowalsky, H.J., Beitr˜oge zur topologischen algebra, Math. Nachrichten 11(1954), 143–185.
  • Kula, M., A note on Cauchy spaces, Acta Math Hungar 133(2011), 14–32.
  • Lowen-Colebunders, E., Function Classes of Cauchy Continuous Maps, New York USA; Marcel Dekker Inc, 1989.
  • MacLane, S., Moerdijk I., Sheaves in Geometry and Logic, Springer- Verlag, 1992.
  • Mielke, M V., Separation axioms and geometric realizations, Indian JPure Appl Math 25(1994), 711–722.
  • 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.
  • Schwarz, F., Connections between convergence and nearness, Lecture Notes in Math. Springer-Verlag 719(1978), 345–354.

Year 2018, Volume: 10, 56 - 60, 29.12.2018
https://izlik.org/JA74TJ78JE

Abstract

References

  • 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., Altındis¸, 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., Completely regular objects and normal objects in topological categories, Acta Math Hungar 80(1998), 211–224.
  • Baran, M., T3 and T4 -objects in topological categories, Indian J Pure Appl Math. 29(1998), 59–69.
  • Baran, M. Kula, S., and Erciyes, A., T0 and T1 semiuniform convergence space, Filomat, 27(2013), 537–546.
  • Baran, T. M., Local T0 pseudo-quasi-semi metric spaces, Proceedings of 1st International Mediterranean Science and Engineering Congress (IMSEC 2016) Çukurova University, Congress Center, October 26-28, 2016, Adana / TURKEY, 286–291.
  • Birkho_, G., A new definition of limit, Bull. Amer. Math. Soc., 41(1935), 636.
  • Cartan, H., Filtres et ultrafiltres, CR Acad. Paris, 205(1937), 777–779.
  • Cartan, H., Theorie des filtres, CR Acad. Paris, 205(1937), 595–598.
  • Cook, H.C., and Fisher, H.R., On equicontinuity and continuous convergence, Math. Ann. 159(1965), 94–104.
  • Göhler, W., Convergence structures-historical remarks and the monadic approach, Bremen Mathematik Arbeitspapiere, 48(1997), 171–193.
  • Herrlich, H., Topological functors, Gen Topology Appl 4(1974), 125-142.
  • Johnstone, PT., Topos Theory, L.M.S Mathematics Monograph: No. 10 New York UAS; Academic Press, 1977.
  • Kent, D.C., Convergence functions and their related topologies, Fund. Math. 54(1964), 125–133.
  • Kowalsky, H.J., Beitr˜oge zur topologischen algebra, Math. Nachrichten 11(1954), 143–185.
  • Kula, M., A note on Cauchy spaces, Acta Math Hungar 133(2011), 14–32.
  • Lowen-Colebunders, E., Function Classes of Cauchy Continuous Maps, New York USA; Marcel Dekker Inc, 1989.
  • MacLane, S., Moerdijk I., Sheaves in Geometry and Logic, Springer- Verlag, 1992.
  • Mielke, M V., Separation axioms and geometric realizations, Indian JPure Appl Math 25(1994), 711–722.
  • 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.
  • Schwarz, F., Connections between convergence and nearness, Lecture Notes in Math. Springer-Verlag 719(1978), 345–354.
There are 24 citations in total.

Details

Primary Language English
Journal Section Conference Paper
Authors

Mehmet Baran

Publication Date December 29, 2018
IZ https://izlik.org/JA74TJ78JE
Published in Issue Year 2018 Volume: 10

Cite

APA Baran, M. (2018). Local T0 Filter Convergence Spaces. Turkish Journal of Mathematics and Computer Science, 10, 56-60. https://izlik.org/JA74TJ78JE
AMA 1.Baran M. Local T0 Filter Convergence Spaces. TJMCS. 2018;10:56-60. https://izlik.org/JA74TJ78JE
Chicago Baran, Mehmet. 2018. “Local T0 Filter Convergence Spaces”. Turkish Journal of Mathematics and Computer Science 10 (December): 56-60. https://izlik.org/JA74TJ78JE.
EndNote Baran M (December 1, 2018) Local T0 Filter Convergence Spaces. Turkish Journal of Mathematics and Computer Science 10 56–60.
IEEE [1]M. Baran, “Local T0 Filter Convergence Spaces”, TJMCS, vol. 10, pp. 56–60, Dec. 2018, [Online]. Available: https://izlik.org/JA74TJ78JE
ISNAD Baran, Mehmet. “Local T0 Filter Convergence Spaces”. Turkish Journal of Mathematics and Computer Science 10 (December 1, 2018): 56-60. https://izlik.org/JA74TJ78JE.
JAMA 1.Baran M. Local T0 Filter Convergence Spaces. TJMCS. 2018;10:56–60.
MLA Baran, Mehmet. “Local T0 Filter Convergence Spaces”. Turkish Journal of Mathematics and Computer Science, vol. 10, Dec. 2018, pp. 56-60, https://izlik.org/JA74TJ78JE.
Vancouver 1.Mehmet Baran. Local T0 Filter Convergence Spaces. TJMCS [Internet]. 2018 Dec. 1;10:56-60. Available from: https://izlik.org/JA74TJ78JE