Notes on Modifications of A wQN-Space

Jaroslav Šupina

doi:10.2478/tmmp-2014-0011

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Notes on Modifications of A wQN-Space

Tatra Mountains Mathematical Publications

Volume 58 (2014): Issue 1 (March 2014)

By: Jaroslav Šupina

Open Access

|Aug 2014

Abstract

We continue to investigate the generalizations of the notion of wQN-space introduced by [L. Bukovský-J. Šupina: Modifications of sequence selection principles, Topology Appl. 160 (2013), 2356-2370] and by [J. Šupina: On Ohta-Sakai’s properties of a topological space (to appear)]. We present covering characterizations, slightly different formulations, and some new relations among them

References

[1] BUKOVSKý, L.: On wQN_* and wQN_* spaces, Topology Appl. 156 (2008), 24-27.10.1016/j.topol.2007.10.010
Search in Google Scholar
[2] BUKOVSKý, L.: The Structure of the Real Line, in: Monogr. Mat., Vol. 71, Birkh äuser, Basel, 2011.10.1007/978-3-0348-0006-8_2
Search in Google Scholar
[3] BUKOVSKý, L.-HALEŠ, J.: QN-spaces, wQN-spaces and covering properties, Topology Appl. 154 (2007), 848-858.10.1016/j.topol.2006.09.008
Search in Google Scholar
[4] BUKOVSKý, L.-RECŁAW, I.-REPICKý, M.: Spaces not distinguishing pointwise and quasinormal convergence of real functions, Topology Appl. 41 (1991), 25-40.10.1016/0166-8641(91)90098-7
Search in Google Scholar
[5] BUKOVSKý, L.-RECŁAW, I.-REPICKý, M.: Spaces not distinguishing convergences of real-valued functions, Topology Appl. 112 (2001), 13-40.10.1016/S0166-8641(99)00226-6
Search in Google Scholar
[6] BUKOVSKý, L.-ŠUPINA, J.: Modifications of sequence selection principles, Topology Appl. 160 (2013), 2356-2370.10.1016/j.topol.2013.07.030
Search in Google Scholar
[7] CSÀSZÀR, À.: Extensions of discrete and equal Baire functions, Acta Math. Hungar. 56 (1990), 93-99.10.1007/BF01903710
Search in Google Scholar
[8] ENGELKING, R.: General Topology. Heldermann, Berlin, 1989.
Search in Google Scholar
[9] HUREWICZ, W.: ¨Uber Folgen stetiger Funktionen, Fund. Math. 9 (1927), 193-204.10.4064/fm-9-1-193-210
Search in Google Scholar
[10] KOČINAC, LJ.D.R.: Selection principles related to αi-properties, Taiwanese J. Math. 12 (2008), 561-571.10.11650/twjm/1500602421
Search in Google Scholar
[11] KURATOWSKI, K.: Topologie I, in: Monogr. Mat., Vol. 20, Warszawa, 1948.
Search in Google Scholar
[12] OHTA, H.-SAKAI, M.: Sequences of semicontinuous functions accompanying continuous functions, Topology Appl. 156 (2009), 2683-2906.10.1016/j.topol.2009.07.017
Search in Google Scholar
[13] SAKAI, M.: The sequence selection properties of Cp(X), Topology Appl. 154 (2007), 552-560.10.1016/j.topol.2006.07.008
Search in Google Scholar
[14] SAKAI, M.: Selection principles and upper semicontinuous functions, Colloq. Math. 117 (2009), 251-256.10.4064/cm117-2-7
Search in Google Scholar
[15] ŠUPINA, J.: wQN spaces and related notions, TatraMt. Math. Publ. 46 (2010), 71-77.
Search in Google Scholar
[16] ŠUPINA, J.: On Ohta-Sakai’s properties of a topological space (to appear).
Search in Google Scholar
[17] TSABAN, B.-ZDOMSKYY, L.: Hereditary Hurewicz spaces and Arhangel’skiı sheaf amalgamations, J. Eur. Math. Soc. (JEMS) 14 (2012), 353-372. 10.4171/JEMS/305
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2014-0011 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 129 - 136

Submitted on: Dec 2, 2013

Published on: Aug 15, 2014

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

semicontinuous function,

wQN-space

Related subjects:

Mathematics,

General mathematics

© 2014 Jaroslav Šupina, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 58 (2014): Issue 1 (March 2014)