Compactifications and universal spaces in extension theory
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- by Alex Chigogidze PDF
- Proc. Amer. Math. Soc. 128 (2000), 2187-2190 Request permission
Abstract:
We show that for each countable simplicial complex $P$ the following conditions are equivalent:
$P \in AE(X)$ iff $P \in AE(\beta X)$ for any space $X$.
There exists a $P$-invertible map of a metrizable compactum $X$ with $P \in AE(X)$ onto the Hilbert cube.
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Additional Information
- Alex Chigogidze
- Affiliation: Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6
- Email: chigogid@math.usask.ca
- Received by editor(s): April 14, 1998
- Received by editor(s) in revised form: August 25, 1998
- Published electronically: October 29, 1999
- Additional Notes: The author was partially supported by NSERC research grant.
- Communicated by: Alan Dow
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2187-2190
- MSC (1991): Primary 55M10; Secondary 54F45
- DOI: https://doi.org/10.1090/S0002-9939-99-05238-7
- MathSciNet review: 1653445