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Universal absolute extensors in extension theory
Author(s):
Alex
Karasev;
Vesko
Valov
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2473-2478.
MSC (2000):
Primary 55M10;
Secondary 54F45
Posted:
February 8, 2006
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Abstract:
Let  be a countable and locally finite CW complex. Suppose that the class of all metrizable compacta of extension dimension ![$ \le [L]$](/proc/2006-134-08/S0002-9939-06-08304-3/gif-abstract0/img2.gif) contains a universal element which is an absolute extensor in dimension ![$ [L]$](/proc/2006-134-08/S0002-9939-06-08304-3/gif-abstract0/img3.gif) . Our main result shows that  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
Email:
veskov@nipissingu.ca
DOI:
10.1090/S0002-9939-06-08304-3
PII:
S 0002-9939(06)08304-3
Keywords:
Absolute extensors,
universal compacta,
extension dimension,
cohomological dimension,
quasi-finite complexes
Received by editor(s):
June 8, 2004
Received by editor(s) in revised form:
March 14, 2005
Posted:
February 8, 2006
Additional Notes:
The authors were partially supported by their NSERC grants.
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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