On Cech homology and a stability theorem in shape theory

Tadashi WATANABE

doi:10.2969/jmsj/02940655

Tadashi WATANABE

著者情報

ジャーナルフリー

1977 年 29 巻 4 号 p. 655-664

DOI https://doi.org/10.2969/jmsj/02940655

詳細

Published: 1977 Received: 1976/02/16 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) K. Borsuk, On movable compacta, Fund. Math., 66 (1969), 137-146.
2) K. Borsuk, Theory of shape, Lecture notes series No. 28, Aarhus Univ., 1971.
3) K. Bosuk, Theory of shape, Monografie Math, Tom 59, PWN, Warszawa, 1975.
4) A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Springer lecture note series No. 304, 1972.
5) D. A. Edward and R. Geoghegan, Compacta weak shape equivalent to ANR's, Fund. Math,, 90 (1976) 115-124.
6) D. A. Edward and R. Geoghegan, The stability problem in shape and a Whitehead theorem in pro-homotopy, Trans. Amer. Math. Soc., 214 (1975), 261-277.
7) B.I. Gray, Spaces of the same n-type, for all n, Topology, 5 (1966), 241-243.
8) S. Mardešic, On the Whitehead theorem in shape theory I, Fund. Math., 91 (1976), 51-64.
9) S. Mardešic and J. Segal, Shapes of compacta and ANR-systems, Fund. Math., 72 (1971), 41-59.
10) K. Morita, The Hurewicz and Whitehead theorems in shape theory, Sci. Rep. Tokyo Kyoiku Daigaku, sect. A, 12 (1974), 246-258.
11) R. H. Overton, Cech homology for movable compacta, Fund. Math., 77 (1973), 241-251.
12) E. H. Spanier, Algebraic topology, McGraw-Hill Book Company, 1966.
13) T. Watanabe, A note on the Hurewicz theorem in shape theory, Proc. Amer. Matn. Soc., 61 (1976), 137-140.

Right : [1] K. Borsuk, On movable compacta, Fund. Math., 66 (1969), 137-146.
[2] K. Borsuk, Theory of shape, Lecture notes series No. 28, Aarhus Univ., 1971.
[3] K. Bosuk, Theory of shape, Monografie Math, Tom 59, PWN, Warszawa, 1975.
[4] A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Springer lecture note series No. 304, 1972.
[5] D. A. Edward and R. Geoghegan, Compacta weak shape equivalent to ANR's, Fund. Math., 90 (1976) 115-124.
[6] D. A. Edward and R. Geoghegan, The stability problem in shape and a Whitehead theorem in pro-homotopy, Trans. Amer. Math. Soc., 214 (1975), 261-277.
[7] B. I. Gray, Spaces of the same n-type, for all n, Topology, 5 (1966), 241-243.
[8] S. Mardešic, On the Whitehead theorem in shape theory I, Fund. Math., 91 (1976), 51-64.
[9] S. Mardešic and J. Segal, Shapes of compacta and ANR-systems, Fund. Math., 72 (1971), 41-59.
[10] K. Morita, The Hurewicz and Whitehead theorems in shape theory, Sci. Rep. Tokyo Kyoiku Daigaku, sect. A, 12 (1974), 246-258.
[11] R. H. Overton, Cech homology for movable compacta, Fund. Math., 77 (1973), 241-251.
[12] E. H. Spanier, Algebraic topology, McGraw-Hill Book Company, 1966.
[13] T. Watanabe, A note on the Hurewicz theorem in shape theory, Proc. Amer. Matn. Soc., 61 (1976), 137-140.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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