Nonhomogeneity of remainders
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- by A. V. Arhangel’skii and J. van Mill PDF
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Abstract:
We present a cardinal inequality for the number of homeomorphisms of the remainders of compactifications of nowhere locally compact spaces. As a consequence, we obtain that if $X$ is countable and dense in itself, then the remainder of any compactification of $X$ has at most continuum many homeomorphisms.References
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Additional Information
- A. V. Arhangel’skii
- Affiliation: Moscow State University and Moscow State Pedagogical University, Moscow, Russia
- MR Author ID: 191554
- Email: arhangel.alex@gmail.com
- J. van Mill
- Affiliation: KdV Institute for Mathematics, University of Amsterdam, Science Park 904, P.O. Box 94248, 1090 GE Amsterdam, The Netherlands
- MR Author ID: 124825
- Email: j.vanMill@uva.nl
- Received by editor(s): May 15, 2015
- Received by editor(s) in revised form: May 19, 2015, and September 21, 2015
- Published electronically: April 27, 2016
- Additional Notes: The work of the first-named author is supported by RFBR, project 15-01-05369
- Communicated by: Mirna Džamonja
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4065-4073
- MSC (2010): Primary 54D35, 54D40, 54A25
- DOI: https://doi.org/10.1090/proc/13172
- MathSciNet review: 3513561