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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On compactifications with path connected remainders


Author: Jan J. Dijkstra
Journal: Proc. Amer. Math. Soc. 136 (2008), 4461-4466
MSC (2000): Primary 54D40, 54D05
Published electronically: July 1, 2008
MathSciNet review: 2431063
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Abstract: We prove that every separable and metrizable space admits a metrizable compactification with a remainder that is both path connected and locally path connected. This result answers a question of P. Simon.


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Additional Information

Jan J. Dijkstra
Affiliation: Faculteit der Exacte Wetenschappen/Afdeling Wiskunde, Vrije Universiteit, De Boelelaan 1081a, 1081 HV\ \ Amsterdam, The Netherlands
Email: dijkstra@cs.vu.nl

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09567-1
PII: S 0002-9939(08)09567-1
Keywords: Separable metric space, compactification, remainder, path connected, locally path connected.
Received by editor(s): October 30, 2007
Published electronically: July 1, 2008
Communicated by: Alexander N. Dranishnikov
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.