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Vietoris-Begle theorem for spectral pro-homology

Authors: Takahisa Miyata and Tadashi Watanabe
Journal: Proc. Amer. Math. Soc. 130 (2002), 595-598
MSC (1991): Primary 55N05; Secondary 55N20, 55P55
Published electronically: June 6, 2001
MathSciNet review: 1862143
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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.

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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

Tadashi Watanabe
Affiliation: Department of Mathematics, Faculty of Education, Yamaguchi University, Yamaguchi, 753 Japan

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
Published electronically: June 6, 2001
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2001 American Mathematical Society

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