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Vietoris-Begle theorem for spectral pro-homology
Author(s):
Takahisa
Miyata;
Tadashi
Watanabe
Journal:
Proc. Amer. Math. Soc.
130
(2002),
595-598.
MSC (1991):
Primary 55N05;
Secondary 55N20, 55P55
Posted:
June 6, 2001
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Abstract:
Dydak and Kozlowski (1991) obtained a generalization of the Vietoris-Begle theorem for the cohomology theories induced by CW spectra. In this note we prove a dual of their theorem involving the pro-homology theories induced by CW spectra.
References:
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- J. Dydak and G. Kozlowski, Vietoris-Begle theorem and spectra, Proc. Amer. Math. Soc. 113 (1991), 587 - 592. MR 91m:55001
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Additional Information:
Takahisa
Miyata
Affiliation:
Department of Computer Science, Shizuoka Institute of Science and Technology, 2200-2 Toyosawa, Fukuroi, 437-8555 Japan
Address at time of publication:
Division of Mathematics and Informatics, Department of Science of Human Environment, Faculty of Human Development, Kobe University, 3-11 Tsurukabuto, Nada-Ku, Kobe 657-8501, Japan
Email:
tmiyata@kobe-u.ac.jp
Tadashi
Watanabe
Affiliation:
Department of Mathematics, Faculty of Education, Yamaguchi University, Yamaguchi, 753 Japan
Email:
tadashi@po.yb.cc.yamaguchi.ac.jp
DOI:
10.1090/S0002-9939-01-06061-0
PII:
S 0002-9939(01)06061-0
Keywords:
Vietoris-Begle theorem,
CW spectrum,
pro-homology,
compact metric space
Received by editor(s):
October 4, 1999
Received by editor(s) in revised form:
July 25, 2000
Posted:
June 6, 2001
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2001,
American Mathematical Society
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