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

 

Homogeneity in powers of zero-dimensional first-countable spaces


Authors: Alan Dow and Elliott Pearl
Journal: Proc. Amer. Math. Soc. 125 (1997), 2503-2510
MSC (1991): Primary 54B10
MathSciNet review: 1416083
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Abstract | References | Similar Articles | Additional Information

Abstract: A construction of L. Brian Lawrence is extended to show that the $\omega $-power of every subset of the Cantor set is homogeneous via a continuous translation modulo a dense set. It follows that every zero-dimensional first-countable space has a homogeneous $\omega $-power.


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Additional Information

Alan Dow
Affiliation: Department of Mathematics and Statistics, York University, North York, Ontario, Canada M3J 1P3
Email: adow@yorku.ca

Elliott Pearl
Affiliation: Department of Mathematics and Statistics, York University, North York, Ontario, Canada M3J 1P3
Email: elliott.pearl@mathstat.yorku.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03998-1
PII: S 0002-9939(97)03998-1
Keywords: Homogeneous, zero-dimensional, first-countable, elementary submodel
Received by editor(s): October 23, 1995
Received by editor(s) in revised form: March 4, 1996
Additional Notes: The first author acknowledges support from NSERC of Canada
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1997 American Mathematical Society