|
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
MathSciNet review:
1862143
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
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:
-
- [C-C]
- J. H. Case and R. E. Chamberlin, Characterizations of tree-like continua, Pacific J. Math. 10 (1960), 73 - 84. MR 22:1868
- [D-K]
- J. Dydak and G. Kozlowski, Vietoris-Begle theorem and spectra, Proc. Amer. Math. Soc. 113 (1991), 587 - 592. MR 91m:55001
- [K]
- J. E. Keesling, A non-movable trivial-shape decomposition of the Hilbert cube, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 23 (1975), 997 - 998. MR 52:11922
- [Ma]
- S. Mardesic, A non-movable compacta with movable suspension, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 19 (1971), 1101 - 1103. MR 46:6325
- [Ma-S]
- S. Mardesic and J. Segal, Shape Theory, North-Holland Publishing Company, 1982. MR 84b:55020
- [Mi]
- T. Miyata, Generalized stable shape and duality, Topology Appl. 109 (2001), 75 - 88. CMP 2001:06
- [Mi-S]
- T. Miyata and J. Segal, Generalized stable shape and the Whitehead theorem, Top. and its Appl. 63(1995), 139 - 164. MR 96d:54017
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
55N05,
55N20, 55P55
Retrieve articles in all Journals with
MSC (1991):
55N05,
55N20, 55P55
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
|
