Homogeneity in powers of zero-dimensional first-countable spaces
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- by Alan Dow and Elliott Pearl PDF
- Proc. Amer. Math. Soc. 125 (1997), 2503-2510 Request permission
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.References
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Additional Information
- Alan Dow
- Affiliation: Department of Mathematics and Statistics, York University, North York, Ontario, Canada M3J 1P3
- MR Author ID: 59480
- 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
- 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
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2503-2510
- MSC (1991): Primary 54B10
- DOI: https://doi.org/10.1090/S0002-9939-97-03998-1
- MathSciNet review: 1416083