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Connectedness and Compactness via Ideal
Rohit Gaur1 , Anjali Srivastava2
Section:Research Paper, Product Type: Journal-Paper
Vol.7 ,
Issue.4 , pp.46-49, Aug-2020
Online published on Aug 31, 2020
Copyright © Rohit Gaur, Anjali Srivastava . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Rohit Gaur, Anjali Srivastava, “Connectedness and Compactness via Ideal,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.4, pp.46-49, 2020.
MLA Style Citation: Rohit Gaur, Anjali Srivastava "Connectedness and Compactness via Ideal." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.4 (2020): 46-49.
APA Style Citation: Rohit Gaur, Anjali Srivastava, (2020). Connectedness and Compactness via Ideal. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(4), 46-49.
BibTex Style Citation:
@article{Gaur_2020,
author = {Rohit Gaur, Anjali Srivastava},
title = {Connectedness and Compactness via Ideal},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2020},
volume = {7},
Issue = {4},
month = {8},
year = {2020},
issn = {2347-2693},
pages = {46-49},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2044},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2044
TI - Connectedness and Compactness via Ideal
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Rohit Gaur, Anjali Srivastava
PY - 2020
DA - 2020/08/31
PB - IJCSE, Indore, INDIA
SP - 46-49
IS - 4
VL - 7
SN - 2347-2693
ER -
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Abstract :
In this article, we introduce and study α-I-connectedness. Also we extend the concept of compact spaces into a new type of spaces; we call it α-I-compact spaces. And we introduce the notion α-I-separated sets and study some of their basic properties.
Key-Words / Index Term :
α-I-connectedness, α-I-compactness, α-I-separated sets
References :
[1]. R. Engelking, ?General Topology?, Second Edition, Sigma Series in Pure Mathematics 6, Heldermann Verlag, Berlin, 1989.
[2]. M. E. Abd El-Monsef, A. E. Radwan, and A. I. Nasir, Some generalized forms of connectedness in ideal topological space, Archives Des Sciences, Vol. 66 Issue. 3, pp. 334?342, 2013.
[3] M. E. Abd El-Monsefa, A. A. Nasefb, A. E. Radwanc and R. B. Esmaeeld, On α-open sets with respect to an ideal, Journal of Advanced Studies in Topology, Vol. 5, Issue. 3, pp. 1-9, 2014.
[4] Anjali Srivastava and Rohit Gaur, About new sets and topologies in ideal topological spaces, International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol. 7, Issue. 1, pp. 107-110, 2020.
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