Universal absolute extensors in extension theory
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- by Alex Karasev and Vesko Valov PDF
- Proc. Amer. Math. Soc. 134 (2006), 2473-2478 Request permission
Abstract:
Let $L$ be a countable and locally finite CW complex. Suppose that the class of all metrizable compacta of extension dimension $\le [L]$ contains a universal element which is an absolute extensor in dimension $[L]$. Our main result shows that $L$ is quasi-finite.References
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Additional Information
- Alex Karasev
- Affiliation: Department of Computer Science and Mathematics, Nipissing University, 100 College Drive, P.O. Box 5002, North Bay, Ontario, Canada P1B 8L7
- Email: alexandk@nipissingu.ca
- Vesko Valov
- Affiliation: Department of Computer Science and Mathematics, Nipissing University, 100 College Drive, P.O. Box 5002, North Bay, Ontario, Canada P1B 8L7
- MR Author ID: 176775
- Email: veskov@nipissingu.ca
- Received by editor(s): June 8, 2004
- Received by editor(s) in revised form: March 14, 2005
- Published electronically: February 8, 2006
- Additional Notes: The authors were partially supported by their NSERC grants.
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2473-2478
- MSC (2000): Primary 55M10; Secondary 54F45
- DOI: https://doi.org/10.1090/S0002-9939-06-08304-3
- MathSciNet review: 2213722