T3 and T4-Objects at p in the Category of Cauchy Spaces

Muammer Kula

doi:10.36753/mathenot.421346

EN

T3 and T4-Objects at p in the Category of Cauchy Spaces

Abstract

There are various generalization of the usual topological T3 and T4- axioms to topological categories

defined in [2] and [8]. [8] is shown that they lead to different T3 and T4 concepts, in general. In this

paper, an explicit characterizations of each of the separation properties T3 and T4 at a point p and the

generalized separation properties is given in the topological category of Cauchy spaces. Moreover,

specific relationships that arise among the various Ti, i = 0; 1; 2; 3; 4, PreT2; and T2 structures at p and the

generalized separation properties are examined in this category. Finally, we investigate the relationships

between the generalized separation properties and the separation properties at a point p in this category.

Keywords

Topological category,Cauchy space,Cauchy map,Seperation

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Muammer Kula

Publication Date

April 15, 2016

Submission Date

January 17, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

DOI

https://doi.org/10.36753/mathenot.421346

IZ

https://izlik.org/JA67GZ54AM

APA

Kula, M. (2016). T3 and T4-Objects at p in the Category of Cauchy Spaces. Mathematical Sciences and Applications E-Notes, 4(1), 6-14. https://doi.org/10.36753/mathenot.421346

AMA

1.Kula M. T3 and T4-Objects at p in the Category of Cauchy Spaces. Math. Sci. Appl. E-Notes. 2016;4(1):6-14. doi:10.36753/mathenot.421346

Chicago

Kula, Muammer. 2016. “T3 and T4-Objects at P in the Category of Cauchy Spaces”. Mathematical Sciences and Applications E-Notes 4 (1): 6-14. https://doi.org/10.36753/mathenot.421346.

EndNote

Kula M (April 1, 2016) T3 and T4-Objects at p in the Category of Cauchy Spaces. Mathematical Sciences and Applications E-Notes 4 1 6–14.

IEEE

[1]M. Kula, “T3 and T4-Objects at p in the Category of Cauchy Spaces”, Math. Sci. Appl. E-Notes, vol. 4, no. 1, pp. 6–14, Apr. 2016, doi: 10.36753/mathenot.421346.

ISNAD

Kula, Muammer. “T3 and T4-Objects at P in the Category of Cauchy Spaces”. Mathematical Sciences and Applications E-Notes 4/1 (April 1, 2016): 6-14. https://doi.org/10.36753/mathenot.421346.

JAMA

1.Kula M. T3 and T4-Objects at p in the Category of Cauchy Spaces. Math. Sci. Appl. E-Notes. 2016;4:6–14.

MLA

Kula, Muammer. “T3 and T4-Objects at P in the Category of Cauchy Spaces”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 1, Apr. 2016, pp. 6-14, doi:10.36753/mathenot.421346.

Vancouver

1.Muammer Kula. T3 and T4-Objects at p in the Category of Cauchy Spaces. Math. Sci. Appl. E-Notes. 2016 Apr. 1;4(1):6-14. doi:10.36753/mathenot.421346