ZT1 spaces and semi-ZT1 spaces
DOI:
https://doi.org/10.31642/JoKMC/2018/080202Keywords:
T1 space, semi-T1 space, ZT1 space, semi-ZT1 spaceAbstract
In this paper, two separation axioms have been introduced: ZT1 space and semi- ZT1 space. Relationships between them and with each of T1 and semi-T1 spaces have been given.
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B. Ahmad , M. Khan , T. Noiri. A note on semi-frontier, Indian J. pure appl. Math. 22(1), 61-62 (1991)
C. C. Adams and R. D. Franzosa. Introduction to Topology Pure and Applied, Pearson Prentice Hall Upper Saddle River. (2008)
C. Dorsett. Product spaces and semi-separation axioms, Periodica Mathematica Hungarica 13(1), 39-45 (1982) DOI: https://doi.org/10.1007/BF01848095
J. Dugundji. Topology Allyn and Bacon, Inc. Boston. (1966)
J. N. Sharma. General topology, Krishan Prakashan Meerut UP (1977)
M. Caldas. A Separation Axioms Between Semi-T0 and Semi- T1, Pro Mathematica 11, 21-22, (1997)
N. Levine. Semi-open sets and semi-continuity in topological space, The American Mathematical Monthly. 70(1), 36-41 (1963) DOI: https://doi.org/10.1080/00029890.1963.11990039
S. G. Crossley and S. K. Hildebrand. Semi-topological properties, Fundamenta Mathematicae. 74(3), 233-254(1972) DOI: https://doi.org/10.4064/fm-74-3-233-254
T. M. Nour. A note on semiapplication of semi-open sets, Internat. J. Math. and Math. Sci. 21(1), 205-207 (1998) DOI: https://doi.org/10.1155/S0161171298000295
https://en.wikipedia.org/wiki/ Axiom_of_regularity
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Copyright (c) 2021 Abed Al-Hamza M.Hamza, Zainab Naji Hameed, Eqbal Naji Hameed
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