T_1 Extended Pseudo-Quasi-Semi Metric Spaces

Tesnim Meryem Baran; Muammer Kula

EN

T_1 Extended Pseudo-Quasi-Semi Metric Spaces

Abstract

In this paper, we characterize a T₁ extended pseudo-quasi-semi metric space at p and a T₁ extended pseudo-quasi-semi metric space and investigate the relationships between them. Finally, we compare each of T₁ extended pseudo-quasi-semi metric spaces with the usual T₁.

Keywords

Topological category,T1 objects,discrete objects,pseudo-quasi-quasi-semi metric spaces

References

[1] Adámek, J., Herrlich, H., Strecker, G. E., Abstract and Concrete Categories, Wiley, New York, (1990).
[2] Adámek, J., Reiterman, J., Cartesian Closed Hull for Metric Spaces. Comment. Math. Univ. Carolinae. 31 (1990), 1-6.
[3] Baran, M., Separation Properties, Indian J. Pure Appl. Math. 23 (5) (1991), 333-341.
[4] Baran, M., Separation Properties in Topological Categories, Math. Balkanica. 10 (1996), 39-48.
[5] Baran, M., Completely Regular Objects and Normal Objects in Topological Categories, Acta Math. Hungar. 80 (1998), 211-224.
[6] Baran, M., T3 and T4 -Objects in Topological Categories, Indian J.Pure Appl. Math. 29 (1998), 59-69.
[7] Fre´chet, M.,Sur quelques points du calcul fonctionnel, Rend. Palermo. 22 (1906), 1-74.
[8] Herrlich, H., Topological Functors, Gen. Topology Appl. 4 (1974), 125-142.
[9] Johnstone, P. T., Topos Theory, L.M.S Mathematics Monograph: No. 10. Academic, New York, (1977).
[10] Lowen, R., Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad, Oxford Mathematical Monographs, Oxford University Press., (1997).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Tesnim Meryem Baran This is me

Muammer Kula

Publication Date

April 30, 2017

Submission Date

January 20, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 5 Number: 1

IZ

https://izlik.org/JA54FS79AX

APA

Baran, T. M., & Kula, M. (2017). T_1 Extended Pseudo-Quasi-Semi Metric Spaces. Mathematical Sciences and Applications E-Notes, 5(1), 40-45. https://izlik.org/JA54FS79AX

AMA

1.Baran TM, Kula M. T_1 Extended Pseudo-Quasi-Semi Metric Spaces. Math. Sci. Appl. E-Notes. 2017;5(1):40-45. https://izlik.org/JA54FS79AX

Chicago

Baran, Tesnim Meryem, and Muammer Kula. 2017. “T_1 Extended Pseudo-Quasi-Semi Metric Spaces”. Mathematical Sciences and Applications E-Notes 5 (1): 40-45. https://izlik.org/JA54FS79AX.

EndNote

Baran TM, Kula M (April 1, 2017) T_1 Extended Pseudo-Quasi-Semi Metric Spaces. Mathematical Sciences and Applications E-Notes 5 1 40–45.

IEEE

[1]T. M. Baran and M. Kula, “T_1 Extended Pseudo-Quasi-Semi Metric Spaces”, Math. Sci. Appl. E-Notes, vol. 5, no. 1, pp. 40–45, Apr. 2017, [Online]. Available: https://izlik.org/JA54FS79AX

ISNAD

Baran, Tesnim Meryem - Kula, Muammer. “T_1 Extended Pseudo-Quasi-Semi Metric Spaces”. Mathematical Sciences and Applications E-Notes 5/1 (April 1, 2017): 40-45. https://izlik.org/JA54FS79AX.

JAMA

1.Baran TM, Kula M. T_1 Extended Pseudo-Quasi-Semi Metric Spaces. Math. Sci. Appl. E-Notes. 2017;5:40–45.

MLA

Baran, Tesnim Meryem, and Muammer Kula. “T_1 Extended Pseudo-Quasi-Semi Metric Spaces”. Mathematical Sciences and Applications E-Notes, vol. 5, no. 1, Apr. 2017, pp. 40-45, https://izlik.org/JA54FS79AX.

Vancouver

1.Tesnim Meryem Baran, Muammer Kula. T_1 Extended Pseudo-Quasi-Semi Metric Spaces. Math. Sci. Appl. E-Notes [Internet]. 2017 Apr. 1;5(1):40-5. Available from: https://izlik.org/JA54FS79AX