Selection principles and covering properties in bitopological spaces
Abstract
Our main focus in this paper is to introduce and study various selection principles in bitopological spaces. In particular, Menger type, and Hurewicz type covering properties like: Almost p-Menger, star p-Menger, strongly star p-Menger, weakly p-Hurewicz, almost p-Hurewicz, star p-Hurewicz and strongly star p-Hurewicz spaces are defined and corresponding properties are investigated. Relations between some of these spaces are established.
Keywords
References
O. T. Alas, L. R. Junqueira and R. G. Wilson, Countability and star covering properties, Topology Appl. 158 (2011), 620-626. https://doi.org/10.1016/j.topol.2010.12.012
B. P. Dvalishvili, Bitopological spaces: theory, relations with generalized algebraic structures, and applications, North-Holand Math. Stud. (2005).
W. Hurewicz, Über die verallgemeinerung des borelschen theorems, Math. Z. 24 (1925), 401-425. https://doi.org/10.1007/BF01216792
J. C. Kelly Bitopological spaces, Proc. London Math. Soc. 13, no. 3 (1963), 71-89. https://doi.org/10.1112/plms/s3-13.1.71
D. Kocev, Almost Menger and related spaces, Mat. Vesnik 61 (2009), 173-180.
Lj. D. R. Kocinac , Star-Menger and related spaces, Publ. Math. Debrecen 55 (1999), 421-431.
Lj. D. R. Kocinac, Star-Menger and related spaces II, Filomat 13 (1999), 129-140.
Lj. D. R. Kocinac and S. Ozcag, Versions of separability in bitopological spaces, Topology Appl. 158 (2011), 1471-1477. https://doi.org/10.1016/j.topol.2011.05.019
Lj. D. R. Kocinac and S. Ozcag, Bitopological spaces and selection principles, Proceedings ICTA2011, Cambridge Scientific Publishers, (2012), 243-255.
M. V. Matveev, A survey on star covering properties, Topology Atlas, preprint No. 330 (1998).
S. Ozcag and A. E. Eysen, Almost Menger property in bitopological spaces, Ukranian Math. J. 68, no. 6 (2016), 950-958. https://doi.org/10.1007/s11253-016-1268-4
F. Rothberger, Eine Ver schörfung der Eigenschaftc, Fundamenta Mathematicae 30 (1938), 50-55. https://doi.org/10.4064/fm-30-1-50-55
Abstract Views
Metrics powered by PLOS ALM
Cited-By (articles included in Crossref)
This journal is a Crossref Cited-by Linking member. This list shows the references that citing the article automatically, if there are. For more information about the system please visit Crossref site
1. On almost Hurewicz property in bitopological spaces
Harsh Vardhan CHAUHAN, Beenu SİNGH
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics first page: 74 year: 2021
doi: 10.31801/cfsuasmas.710601
Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional. Universitat Politècnica de València e-ISSN: 1989-4147 https://doi.org/10.4995/agt |