ZT2 space and semi-ZT2 space
DOI:
https://doi.org/10.31642/JoKMC/2018/050305Keywords:
T2 space, semi-T2 space, ZT2 space, semi ZT2 space.Abstract
The aim of this paper is to introduce new types of separation axioms which are ZT2 space and semi-ZT2 space, with examples and theorems. The relationships between them and with each of T2 and semi-T2 spaces have been given. The product of two ZT2 (semi-ZT2) spaces is ZT2 (semi-ZT2) space.Downloads
References
B. Ahmad , M. Khan , T. Noiri. A note on semi-frontier, Indian J. pure appl. Math.
(1), 61-62 (1991) DOI: https://doi.org/10.1111/j.1746-1561.1991.tb03238.x
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 semiseparation 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 semicontinuity 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. Semitopological 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 semi-application of semi-open sets, Internat. J. Math. and Math. Sci. 21(1), 205-207 (1998) DOI: https://doi.org/10.1155/S0161171298000295
W. J. M. Thomas. Semi-open sets, PhD Thesis. (1965).
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Copyright (c) 2018 Abed Al-Hamza M.Hamza, Zainab Naji Hameed
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