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Year 2017, Volume: 5 Issue: 1, 45 - 56, 30.04.2017

Mehmet Baran , Muhammad Qasim

Abstract

References

  • [1] Adamek, J., Herrlich, H., Strecker, G.E., Abstract and Concrete Categories, John Wiley and Sons (1990), New York.
  • [2] Herrlich, H., Topological Functor, Gen. Topology Appl. (1974), 4, 125–142.
  • [3] Preuss, G., Theory of Topological Structure, An Approach to Topological Categories D. Reidel Publ. Co., Dordrecht (1988).
  • [4] Baran, M., Separation Properties, Indian J. Pure Appl. Math. ( 1991), Vol. 23, 333–341.
  • [5] Baran, M., Altindis, H., T2-objects in topological categories, Acta Math. Hungar. (1996), Vol. 71, 41–48.
  • [6] Baran, M., T3 and T4 -Objects in topological categories, Indian J. Pure Appl. Math. (1998), Vol. 29, 59–69.
  • [7] Baran, M., Completely regular objects and normal objects in topological categories, Acta Math. Hungar. (1998), Vol. 80, 211–224.
  • [8] Baran, M., Separation Properties in Topological Categories, Math. Balkanica, (1996), Vol. 10 , 39–48.
  • [9] Baran, M., Altindis, H., T0 objects in topological categories, J. Univ. Kuwait (Sci.) , (1995), Vol. 22 , 123–127.
  • [10] Lowen, R., Approach spaces; a common supercategory of TOP and MET, Mathematische Nachrichten, (Nov. 1989), vol. 141, Issue 1, 183–226.
  • [11] Lowen, R., Index Analysis: Approach Theory at Work, Springer, (2015).
  • [12] Lowen, R., Sioen, M., Approximation in Functional Analysis, Result.Math., (2000), Vol. 37, 345–372 .
  • [13] Lowen, R., Sioen, M., A note on separation in AP, Applied General Topology, (2003), Vol. 4, 475–486.
  • [14] Marny, T., Rechts-Bikategoriestrukturen in topologischen kategorien, Dissertation, Free university Berlin, (1973).
  • [15] Weck-Schwarz, S., T0 objects and separated objects in topological categories, Quaestiones Math., (1991), Vol. 14 , 315–325.
  • [16] Adamek, J., Reiterman, J., Cartesian Closed Hull for Metric Spaces, Comment. Math. Univ. Carolinae, (1990), Vol. 31, 1–6.

Local T_0 Approach Spaces

Year 2017, Volume: 5 Issue: 1, 45 - 56, 30.04.2017

Mehmet Baran , Muhammad Qasim

Abstract

In this paper, we characterize local T0 distance-approach spaces and gauge-approach spaces and compare
them with usual T0 approach spaces.

Keywords

Topological category initial lift discrete structure T0 objects approach spaces

References

  • [1] Adamek, J., Herrlich, H., Strecker, G.E., Abstract and Concrete Categories, John Wiley and Sons (1990), New York.
  • [2] Herrlich, H., Topological Functor, Gen. Topology Appl. (1974), 4, 125–142.
  • [3] Preuss, G., Theory of Topological Structure, An Approach to Topological Categories D. Reidel Publ. Co., Dordrecht (1988).
  • [4] Baran, M., Separation Properties, Indian J. Pure Appl. Math. ( 1991), Vol. 23, 333–341.
  • [5] Baran, M., Altindis, H., T2-objects in topological categories, Acta Math. Hungar. (1996), Vol. 71, 41–48.
  • [6] Baran, M., T3 and T4 -Objects in topological categories, Indian J. Pure Appl. Math. (1998), Vol. 29, 59–69.
  • [7] Baran, M., Completely regular objects and normal objects in topological categories, Acta Math. Hungar. (1998), Vol. 80, 211–224.
  • [8] Baran, M., Separation Properties in Topological Categories, Math. Balkanica, (1996), Vol. 10 , 39–48.
  • [9] Baran, M., Altindis, H., T0 objects in topological categories, J. Univ. Kuwait (Sci.) , (1995), Vol. 22 , 123–127.
  • [10] Lowen, R., Approach spaces; a common supercategory of TOP and MET, Mathematische Nachrichten, (Nov. 1989), vol. 141, Issue 1, 183–226.
  • [11] Lowen, R., Index Analysis: Approach Theory at Work, Springer, (2015).
  • [12] Lowen, R., Sioen, M., Approximation in Functional Analysis, Result.Math., (2000), Vol. 37, 345–372 .
  • [13] Lowen, R., Sioen, M., A note on separation in AP, Applied General Topology, (2003), Vol. 4, 475–486.
  • [14] Marny, T., Rechts-Bikategoriestrukturen in topologischen kategorien, Dissertation, Free university Berlin, (1973).
  • [15] Weck-Schwarz, S., T0 objects and separated objects in topological categories, Quaestiones Math., (1991), Vol. 14 , 315–325.
  • [16] Adamek, J., Reiterman, J., Cartesian Closed Hull for Metric Spaces, Comment. Math. Univ. Carolinae, (1990), Vol. 31, 1–6.
There are 16 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Mehmet Baran

Muhammad Qasim

Publication Date April 30, 2017
Submission Date February 23, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

Cite

APA Baran, M., & Qasim, M. (2017). Local T_0 Approach Spaces. Mathematical Sciences and Applications E-Notes, 5(1), 45-56.
AMA Baran M, Qasim M. Local T_0 Approach Spaces. Math. Sci. Appl. E-Notes. April 2017;5(1):45-56.
Chicago Baran, Mehmet, and Muhammad Qasim. “Local T_0 Approach Spaces”. Mathematical Sciences and Applications E-Notes 5, no. 1 (April 2017): 45-56.
EndNote Baran M, Qasim M (April 1, 2017) Local T_0 Approach Spaces. Mathematical Sciences and Applications E-Notes 5 1 45–56.
IEEE M. Baran and M. Qasim, “Local T_0 Approach Spaces”, Math. Sci. Appl. E-Notes, vol. 5, no. 1, pp. 45–56, 2017.
ISNAD Baran, Mehmet - Qasim, Muhammad. “Local T_0 Approach Spaces”. Mathematical Sciences and Applications E-Notes 5/1 (April 2017), 45-56.
JAMA Baran M, Qasim M. Local T_0 Approach Spaces. Math. Sci. Appl. E-Notes. 2017;5:45–56.
MLA Baran, Mehmet and Muhammad Qasim. “Local T_0 Approach Spaces”. Mathematical Sciences and Applications E-Notes, vol. 5, no. 1, 2017, pp. 45-56.
Vancouver Baran M, Qasim M. Local T_0 Approach Spaces. Math. Sci. Appl. E-Notes. 2017;5(1):45-56.

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