Vietoris-Begle theorem for spectral pro-homology
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- by Takahisa Miyata and Tadashi Watanabe PDF
- Proc. Amer. Math. Soc. 130 (2002), 595-598 Request permission
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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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
- 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
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 595-598
- MSC (1991): Primary 55N05; Secondary 55N20, 55P55
- DOI: https://doi.org/10.1090/S0002-9939-01-06061-0
- MathSciNet review: 1862143