On λD − R0 and λD − R1 spaces

Sarhad F. Namiq; Ennis Rosas

doi:10.2478/ausm-2020-0022

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On λD − R0 and λD − R1 spaces

Acta Universitatis Sapientiae, Mathematica

Volume 12 (2020): Issue 2 (November 2020)

By: Sarhad F. Namiq and Ennis Rosas

Open Access

|Dec 2020

Abstract

In this paper we introduce the new types of separation axioms called λ^D − R₀ and λ^D − R₁ spaces, by using λ^D-open set. The notion λ^D − R₀ and λ^D − R₁ spaces are introduced and some of their properties are investigated.

References

[1] Alias B. Khalaf and Sarhad F. Namiq, New types of continuity and separation axiom based operation in topological spaces, M. Sc. Thesis, University of Sulaimani (2011).
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[2] Alias B. Khalaf, Sarhad F. Namiq, Generalized λ−Closed Sets and (λ, γ)D−Continuous Functions, International Journal of Scientific & Engineering Research, Volume 3, Issue 12, December-2012 1 ISSN 2229–5518.
Search in Google Scholar Back to article
[3] A. S. Davis, Indexed systems of neighborhoods for general topologi-cal spaces, Amer. Math. Monthly, 68 (1961), 886–893.10.1080/00029890.1961.11989785
Search in Google Scholar Back to article
[4] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1) (1963), 36–41.10.1080/00029890.1963.11990039
Search in Google Scholar Back to article
[5] Sarhad F. Namiq, Some Properties of λD−Open Sets in Topological Spaces (submit).
Search in Google Scholar Back to article
[6] N. A. Shanin, On separation in topological spaces, Dokl. Akad. Nauk. SSSR,. 38 (1943), 110–113.
Search in Google Scholar Back to article
[7] J. N. Sharma and J. P. Chauhan, Topology (General and Algebraic), Krishna Prakashna Media, India. (2011).
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DOI: https://doi.org/10.2478/ausm-2020-0022 | Journal eISSN: 2066-7752

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Language: English

Page range: 307 - 316

Submitted on: Jan 23, 2020

Published on: Dec 2, 2020

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

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© 2020 Sarhad F. Namiq, Ennis Rosas, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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