T_1 Extended Pseudo-Quasi-Semi Metric Spaces

Tesnim Meryem Baran; Muammer Kula

Research Article

Year 2017, Volume: 5 Issue: 1, 40 - 45, 30.04.2017

Tesnim Meryem Baran Muammer Kula

https://izlik.org/JA54FS79AX

Abstract

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).
[11] Lowen, R., Approach Spaces: a Common Supercategory of TOP and MET, Math. Nachr. 141 (1989), 183-226.
[12] MacLane, S., Moerdijk, I., Sheaves in Geometry and Logic. Springer, New York, (1992).
[13] Nauwelaerts, M., Cartesian Closed Hull for (Quasi-) Metric Spaces, Comment. Math. Univ. Carolinae. 41 (2000), 559-573.
[14] Preuss, G., Theory of Topological Structures, An Approach to topological Categories, D. Reidel Publ. Co., Dordrecht, (1988).
[15] Wilson, W. A., On Quasi-Metric Spaces, Amer.J. Math. 53 (1931), 675-684.

T_1 Extended Pseudo-Quasi-Semi Metric Spaces

Year 2017, Volume: 5 Issue: 1, 40 - 45, 30.04.2017

Tesnim Meryem Baran Muammer Kula

https://izlik.org/JA54FS79AX

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).
[11] Lowen, R., Approach Spaces: a Common Supercategory of TOP and MET, Math. Nachr. 141 (1989), 183-226.
[12] MacLane, S., Moerdijk, I., Sheaves in Geometry and Logic. Springer, New York, (1992).
[13] Nauwelaerts, M., Cartesian Closed Hull for (Quasi-) Metric Spaces, Comment. Math. Univ. Carolinae. 41 (2000), 559-573.
[14] Preuss, G., Theory of Topological Structures, An Approach to topological Categories, D. Reidel Publ. Co., Dordrecht, (1988).
[15] Wilson, W. A., On Quasi-Metric Spaces, Amer.J. Math. 53 (1931), 675-684.

There are 15 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Tesnim Meryem Baran This is me Muammer Kula
Submission Date	January 20, 2017
Publication Date	April 30, 2017
IZ	https://izlik.org/JA54FS79AX
Published in Issue	Year 2017 Volume: 5 Issue: 1

Cite

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