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On compactifications with path connected remainders
Author(s):
Jan
J.
Dijkstra
Journal:
Proc. Amer. Math. Soc.
136
(2008),
4461-4466.
MSC (2000):
Primary 54D40, 54D05
Posted:
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:
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
Posted:
July 1, 2008
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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