Results about S2-paracompactness
Submitted: 2022-01-13
|Accepted: 2022-08-30
|Published: 2022-10-03
Copyright (c) 2022 Applied General Topology

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
separable, paracompact, S-paracompact, S2-paracompact, L-paracompact, L2-paracompact, S-normal, L-normal
Supporting agencies:
Abstract:
We present new results regarding S2-paracompactness, that we estab-lished in [1], and its relation with other properties such as S-normality, epinormality and L-paracompactness.
References:
O. Alghamdi, L. Kalantan and W. Alagal, $S$-paracompactness and $S_2$-paracompactness, Filomat 33, no. 17 (2019), 5645-5650. https://doi.org/10.2298/FIL1917645A
S. Alzharani and L. Kalantan, Epinormality, J. Nonlinear Sci. Appl. 9 (2016), 5398-5402. https://doi.org/10.22436/jnsa.009.09.08
R. Engelking, General Topology, PWN, Warszawa, 1977.
L. Kalantan and M. Alhomieyed, $S$-normality, J. Math. Anal. 9, no. 5 (2018), 48-54.
L. Kalantan, L-paracompactness and $L_2$-paracompactness, Hacet. J. Math. Stat. 48, no. 3 (2019), 779-784. https://doi.org/10.15672/HJMS.2018.548
A. K. Misra, A topological view of P-spaces, Gen. Topol. Appl. 2 (1972), 349-362. https://doi.org/10.1016/0016-660X(72)90026-8
M. M. Saeed, L. Kalantan and H. Alzumi, C-paracompactness and $C_2$-paracompactness, Turk. J. Math. 43 (2019), 9-20. https://doi.org/10.3906/mat-1804-54
M. M. Saeed, L. Kalantan and H. Alzumi, Result about C_2-paracompactness, Eur. J. Pure Appl. Math. 14, no. 2 (2021), 351-357. https://doi.org/10.29020/nybg.ejpam.v14i2.3941
L. Steen and J. A. Seebach, Counterexamples in Topology, Dover Publications, 1995.
V. Zaitsev, On certain classes of topological spaces and their bicompactification, Dokl. Akad. Nauk SSSR 178 (1968), 778-779.



