When is a space Menger at infinity?

Leandro Fiorini Aurichi, Angelo Bella

Abstract

We try to characterize those Tychonoff spaces X such that $\beta X\setminus X$ has the Menger property.


Keywords

Menger at infinity

Subject classification

54D20

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References

L. F. Aurichi and A. Bella, On a game theoretic cardinality bound, Topology Appl., to appear.

G. Debs, Espaces héréditairement de Baire, Fund. Math. 129 (1988), 199-206.

M. Henriksen and J. Isbell, Some properties of compactifications., Duke Math. J. 25 (1958), 83-106. (http://dx.doi.org/10.1215/S0012-7094-58-02509-2)

W. Hurewicz, Uber eine verallgemeinerung des Borelschen theorems, Mathematische Zeitschrift. 24 (1925), 401-421. (http://dx.doi.org/10.1007/BF01216792)

E. Michael, Complete spaces and triquotient maps, Illinois J. Math. 21 (1977), 716-733.

A. Miller and D. Fremlin, On some properties of Hurewicz, Menger and Rothberger, Fund. Math. 129 (1988), 17-33.

M. Sakai and M. Scheepers, The combinatorics of open covers, Recent progress in General Topology III, J. van Mill and K. P. Hart ed., (2014) 751-799.

R. Telgarsky, On games of Topsoe, Math. Scand. 54 (1984), 170-176.

F. Topsoe, Topological games and Cech-completeness, Proceedings of the V Prague Topological Symposium, 1981, J. Novak ed. (1982), 613-630

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1. A non-discrete space X with Cp(X) Menger at infinity
Angelo Bella, Rodrigo Hernández-Gutiérrez
Applied General Topology  vol: 20  issue: 1  first page: 223  year: 2019  
doi: 10.4995/agt.2019.10714



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Universitat Politècnica de València

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