Strongly regular mappings with ANR fibers and shape

Hisao KATO

doi:10.2969/jmsj/03520243

Hisao KATO

著者情報

ジャーナルフリー

1983 年 35 巻 2 号 p. 243-249

DOI https://doi.org/10.2969/jmsj/03520243

詳細

Published: 1983 Received: 1981/05/26 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) D.A. Addis, A strong regularity condition of mapping, General Topology and Appl., 2 (1972), 199-213.
2) T.A. Chapman and S. Ferry, Hurewicz fiber maps with ANR fibers, Topology, 16 (1977), 131-143.
3) J. Dydak and J. Segal, Strong shape theory, Dissertationes Math., 192 (1981), 1-42.
4) S. Ferry, The homeomorphism group of a Hilbert cube manifold is an ANR, Ann. of Math., 106 (1977), 101-120.
5) S. Ferry, Strongly regular mappings with compact ANR fibers are Hurewicz fiberings, Pacific J. Math., 75 (1978), 373-382.
6) H. Kato, Shape fibrations and fiber shape equivalences I, II, Tsukuba J. Math., 5 (1981), 223-235, 237-246.
7) H. Kato, Fiber shape categories, Tsukuba J. Math., 5 (1981), 247-265.
8) G. Kozlowski, Images of ANRs, Trans. Amer. Math. Soc., (to appear).
9) S. Mardešic and T.B. Rushing, Shape fibrations I, General Topology and Appl., 9 (1978), 193-215.
10) S. Mardešic and T.B. Rushing, Shape fibrations II, Rocky Mountain J. Math., 9 (1979), 283-298.
11) T.B. Rushing, Cell-like maps, approximate fibrations and shape fibrations, Geometric topology, Academic Press, 1979, 631-648.
12) M.G. Scharlemann, Fiber bundles over Sh_QY, Princeton Senior Thesis, 1969.

Right : [1] D. A. Addis, A strong regularity condition of mapping, General Topology and Appl., 2 (1972), 199-213.
[2] T. A. Chapman and S. Ferry, Hurewicz fiber maps with ANR fibers, Topology, 16 (1977), 131-143.
[3] J. Dydak and J. Segal, Strong shape theory, Dissertationes Math., 192 (1981), 1-42.
[4] S. Ferry, The homeomorphism group of a Hilbert cube manifold is an ANR, Ann. of Math., 106 (1977), 101-120.
[5] S. Ferry, Strongly regular mappings with compact ANR fibers are Hurewicz fiberings, Pacific J. Math., 75 (1978), 373-382.
[6] H. Kato, Shape fibrations and fiber shape equivalences I, II, Tsukuba J. Math., 5 (1981), 223-235, 237-246.
[7] H. Kato, Fiber shape categories, Tsukuba J. Math., 5 (1981), 247-265.
[8] G. Kozlowski, Images of ANRs, Trans. Amer. Math. Soc., (to appear).
[9] S. Mardešic and T. B. Rushing, Shape fibrations I, General Topology and Appl., 9 (1978), 193-215.
[10] S. Mardešic and T. B. Rushing, Shape fibrations II, Rocky Mountain J. Math., 9 (1979), 283-298.
[11] T. B. Rushing, Cell-like maps, approximate fibrations and shape fibrations, Geometric topology, Academic Press, 1979, 631-648.
[12] M. G. Scharlemann, Fiber bundles over Sh_QY, Princeton Senior Thesis, 1969.

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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