On almost Hurewicz property in bitopological spaces
Year 2021,
Volume: 70 Issue: 1, 74 - 81, 30.06.2021
Harsh Vardhan Chauhan
Beenu Singh
Abstract
The purpose of this paper is to investigate properties and results of the almost Hurewicz property in bitopological spaces. We characterize this property using $(i, j)$- regular open sets and almost continuous surjective map.
Supporting Institution
University Grants Commision, India
References
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its Applications 158 (2011), 1471-1477.
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(2016), 403-413.
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- Rothberger, F., Eine Verscharfung der Eigenschaft C, Fund. Math. 30 (1938), 50- 55.
- Sakai, M., The weak Hurewicz property of Pixley-Roy hyperspaces, Topology and its Appli-
cations, 160(18) (2013), 2531- 2537.
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31 -62.
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335 -343.
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31 (2013), 131- 136.
- Song, Y.K., Li, R., On weakly Hurewicz spaces, Filomat 29(4) (2015), 667-671.
Year 2021,
Volume: 70 Issue: 1, 74 - 81, 30.06.2021
Harsh Vardhan Chauhan
Beenu Singh
References
- Datta, M.C., Projective bitopological spaces II, J. Aust. Math. Soc., 14 (1972), 119-128.
- Dvalishvili, B.P., Bitopological spaces: Theory, relations with generalized algebraic structures
and applications, North Holland Mathematics studiesm, Elsevier science B.V., Amsterdam,
(2005).
- Engelking, R., General Topology, Heldermann Verlag, Berlin, (1989).
- Eysen, A., Özça¼g, S., Weaker forms of the Menger property in bitopological spaces, Quaest.
Math., 41(7) (2018), 877-888.
- Hurewicz, W., Über die verallgemeinerung des Borelschen Theorems, Math. Z., 24 (1925),
401-425.
- Hurewicz, W., Über Folgen Stetiger Funktionen, Fund. Math., 9 (1927), 193-204.
- Jeli´c, M., Feebly p-continuous mappings, V International meeting on topology in Italy (Ital-
ian) (Lecce,1990/Otranto, 1990); Rend. Circ. Mat. Palermo, 24 (2) (1990), 387-395.
- Khan, M.D., Sabah, A., Selection principles and covering properties in bitopological spaces,
Applied General Topology, 21(1) (2020), 159 -169.
- Khedr, F.H., Alshibani, A.M., On pairwise super continuous mappings in bitopological spaces,
Int. J. Math. Math. Sci., 14(4) (1991), 715- 722.
- Koµcinac, Lj.D.R., The Pixley-Roy topology and selection principles, Questions and Answers
in General Topology, 19(2) (2001), 219-225.
- Koµcinac, Lj.D.R., The Reznichenko property and the Pytkeev property in hyperspaces, Acta
Mathematica Hungarica, 107(3) (2005), 225-233
- Koµcinac, Lj.D.R., Özça¼g, S., Versions of separability in bitopological spaces, Topology and
its Applications 158 (2011), 1471-1477.
- Koµcinac, Lj.D.R., Özça¼g, S., Bitopological spaces and selection principles, Proceedings ICTA
2011, Cambridge Scienti
c Publishers, (2012), 243- 255.
- Lyakhovets, D., Osipov, A.V., Selection principles and games in bitopological function spaces,
Filomat, 33(14) (2019), 4535- 4540.
- Maheshwari, S.N., Prasad, R. Semi open sets and semi continuous function in bitopological
spaces, Math. Notes 26 (1977 -78), 29 -37.
- Menger, K., Einige Überdeckungssätze der Punktmengenlehre, Sitzungsber. Österr. Adad.
Wiss. Math.-Naturwiss. Kl. Abt IIa, 133 (1924), 421- 444.
- Özçağ, S., Bornologies and bitopological function spaces, Filomat 27(7) (2013), 1345-1349.
- Özçağ, S., Selective bitopological version of separability, Topology and its Applications, 201
(2016), 403-413.
- Özçağ, S., Eysen, A.E., Almost Menger property in bitopological spaces, Ukrainian Math.
J., 68(6) (2016), 950 -958.
- Rothberger, F., Eine Verscharfung der Eigenschaft C, Fund. Math. 30 (1938), 50- 55.
- Sakai, M., The weak Hurewicz property of Pixley-Roy hyperspaces, Topology and its Appli-
cations, 160(18) (2013), 2531- 2537.
- Scheepers, M., Combinatorics of open covers I: Ramsey theory, Topology Appl. 69 (1996),
31 -62.
- Singal, A.R., Arya, S.P., On pairwise almost regular spaces, Glasnik Math. 26(6) (1971),
335 -343.
- Song, Y.K., Li, R., The almost Hurewicz spaces, Questions and Answers in General Topology
31 (2013), 131- 136.
- Song, Y.K., Li, R., On weakly Hurewicz spaces, Filomat 29(4) (2015), 667-671.