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A non-discrete space X with Cp(X) Menger at infinity

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A non-discrete space X with Cp(X) Menger at infinity

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Bella, A.; Hernández-Gutiérrez, R. (2019). A non-discrete space X with Cp(X) Menger at infinity. Applied General Topology. 20(1):223-230. https://doi.org/10.4995/agt.2019.10714

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/118972

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Title: A non-discrete space X with Cp(X) Menger at infinity
Author: Bella, Angelo Hernández-Gutiérrez, Rodrigo
Issued date:
Abstract:
[EN] In a paper by Bella, Tokgös and Zdomskyy it is asked whether there exists a Tychonoff space X such that the remainder of Cp(X) in some compactification is Menger but not σ-compact. In this paper we prove that it is ...[+]
Subjects: Menger spaces , Non-meager P-filter , Pointwise convergence topology
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2019.10714
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2019.10714
Project ID:
info:eu-repo/grantAgreement/SEP//UAM-PTC-636/
Thanks:
The research that led to the present paper was partially supported by a grant of the group GNSAGA of INdAM. The second-named author was also supported by the 2017 PRODEP grant UAM-PTC-636 awarded by the Mexican Secretariat ...[+]
Type: Artículo

References

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L. F. Aurichi and A. Bella, When is a space Menger at infinity?, Appl. Gen. Topol. 16, no. 1 (2015), 75-80. https://doi.org/10.4995/agt.2015.3244

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A. V. Arkhangel'skii, Topological Function Spaces, Mathematics and its Applications (Soviet Series), 78. Kluwer Academic Publishers Group, Dordrecht, 1992. x+205 pp. ISBN: 0-7923-1531-6

L. F. Aurichi and A. Bella, When is a space Menger at infinity?, Appl. Gen. Topol. 16, no. 1 (2015), 75-80. https://doi.org/10.4995/agt.2015.3244

T. Bartoszynski and H. Judah, Set theory. On the Structure of the Real Line, A K Peters, Ltd., Wellesley, MA, 1995. xii+546 pp. ISBN: 1-56881-044-X https://doi.org/10.1201/9781439863466

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