Abstract
A criterion and a sufficient condition of connectedness of Stone-Cech remainder of a locally compact space are obtained. Some examples of locally compact spaces with connected Stone-Cech remainder are given.
References
R. Engelking, General Topology (PWN, Warsaw, 1977; Mir, Moscow, 1986).
M. Henriksen and J. R. Isbell, “Some Properties of Compactifications,” Duke Math. J. 25, 83 (1958).
J. P. Hatzenbuhler and D. A. Mattson, “Stone-Cech Remainders of Nowhere Locally Compact Spaces,” Acta Math. Hung. 122, 29 (2009).
J. W. Rogers Jr., “On Compactifications with Continua as Remainders,” Fund. Math. 70, 7 (1971).
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian Text © The Author(s), 2020, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2020, Vol. 75, No. 2, pp. 47–49.
About this article
Cite this article
Sorin, G.B. The Connectedness of Stone-Čech Remainder. Moscow Univ. Math. Bull. 75, 78–79 (2020). https://doi.org/10.3103/S0027132220020059
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027132220020059