SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES

İrem Eroglu; Erdal Guner

Research Article

SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES

Year 2016, Volume: 65 Issue: 2, 1 - 10, 01.08.2016

Abstract

In this paper, we generalize closure spaces by an preorder and we give some order separation axioms in Čech closure ordered spaces.

Keywords

Closure ordered space, T_{i}-ordered separation axiom, Čech closure space

References

A. S. Mashhour, M. H. Ghanim, On Closure Spaces, Indian J. pure appl. Math. 14 (6) (1983), 680-691
B. A. Davey, H. A. Priestly, Introduction to lattices and order, Cambridge University Press (1999)
D. Andrijević, M. Jelić, M. Mršević, On function space topologies in the setting of Čech closure spaces, Topology and its Applications 148 (2011), 1390-1395
E. Čech, Topological spaces, Czechoslovak Acad. of Sciences, Prag, 1966
H. A. Priestly, Ordered topological spaces and the reprasentation of distributive lattices, Proc. London Math. Soc. (3) 24 (1972), 507-530
L. Nachbin, Topology and Order, Van Nostrand, Princeton, 1965
M. Mršević, Proper and admissible topologies in closure spaces, Indian J. Pure Appl. Math 36 (2005), 613-627
R. Engelking, General Topology, PWN, Warsawa, 1977
S. D. McCartan, Separation axioms for topological ordered spaces, Proc. Camb. Phil. Soc. 64 (1968), 965-973

Year 2016, Volume: 65 Issue: 2, 1 - 10, 01.08.2016

İrem Eroglu Erdal Guner

Abstract

References

A. S. Mashhour, M. H. Ghanim, On Closure Spaces, Indian J. pure appl. Math. 14 (6) (1983), 680-691
B. A. Davey, H. A. Priestly, Introduction to lattices and order, Cambridge University Press (1999)
D. Andrijević, M. Jelić, M. Mršević, On function space topologies in the setting of Čech closure spaces, Topology and its Applications 148 (2011), 1390-1395
E. Čech, Topological spaces, Czechoslovak Acad. of Sciences, Prag, 1966
H. A. Priestly, Ordered topological spaces and the reprasentation of distributive lattices, Proc. London Math. Soc. (3) 24 (1972), 507-530
L. Nachbin, Topology and Order, Van Nostrand, Princeton, 1965
M. Mršević, Proper and admissible topologies in closure spaces, Indian J. Pure Appl. Math 36 (2005), 613-627
R. Engelking, General Topology, PWN, Warsawa, 1977
S. D. McCartan, Separation axioms for topological ordered spaces, Proc. Camb. Phil. Soc. 64 (1968), 965-973

There are 9 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Articles
Authors	İrem Eroglu This is me Erdal Guner
Publication Date	August 1, 2016
Submission Date	February 15, 2016
Published in Issue	Year 2016 Volume: 65 Issue: 2

Cite

APA	Eroglu, İ., & Guner, E. (2016). SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(2), 1-10.
AMA	Eroglu İ, Guner E. SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2016;65(2):1-10.
Chicago	Eroglu, İrem, and Erdal Guner. “SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65, no. 2 (August 2016): 1-10.
EndNote	Eroglu İ, Guner E (August 1, 2016) SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 2 1–10.
IEEE	İ. Eroglu and E. Guner, “SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 65, no. 2, pp. 1–10, 2016.
ISNAD	Eroglu, İrem - Guner, Erdal. “SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/2 (August 2016), 1-10.
JAMA	Eroglu İ, Guner E. SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65:1–10.
MLA	Eroglu, İrem and Erdal Guner. “SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 65, no. 2, 2016, pp. 1-10.
Vancouver	Eroglu İ, Guner E. SEPARATION AXIOMS IN ČECH CLOSURE ORDERED SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(2):1-10.