Fine movability

Yukihiro KODAMA

doi:10.2969/jmsj/03010101

Fine movability

Yukihiro KODAMA

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JOURNAL FREE ACCESS

1978 Volume 30 Issue 1 Pages 101-116

DOI https://doi.org/10.2969/jmsj/03010101

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Published: 1978 Received: November 08, 1976 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) R.D. Anderson, On topological infinite deficiency, Michigan Math. J., 14 (1967), 365-383.
2) R. D. Anderson, D. W. Henderson and J. E. West, Negligible subsets of infinite-dimensional manifolds, Composition Math., 21 (1969), 143-150.
3) K. Borsuk, Theory of retracts, Monografie Matematyczne 44, Warszawa, 1967.
4) K. Borsuk, Concerning homotopy properties of compacta, Fund. Math., 62 (1968), 223-254.
5) K. Borsuk, Fundamental retracts and extensions of fundamental sequences, Fund. Math., 64 (1969), 55-85.
6) K. Borsuk, On movable compacta, Fund. Math., 66 (1969), 137-146.
7) K. Borsuk, On the n-movability, Bull. Acad. Polon. Sci., 20 (1972), 859-869.
8) K. Borsuk, Theory of shape, Monografie Matematyczne 59, Warszawa, 1975.
9) T. A. Chapman, On some applications of infinite-dimensional manifolds to the theory of shape, Fund. Math., 76 (1967), 261-276.
10) C. Cox, Three questions of Borsuk concerning movability and fundamental retraction, Fund. Math., 80 (1973), 169-179.
11) J. Dugundji, An extension of Tietze's theorem, Pacific J. Math., 1 (1951), 353-367.
12) J. Dydak, S. Nowak and M. Strok, On the union of two FANR-sets, Bull. Acad. Polon. Sci., 24 (1976), 485-489.
13) J. Dydak, A simple proof that pointed connected FANR-spaces are regular fundamental retracts of ANR's, Bull. Acad. Polon. Sci., 25 (1977), 55-62.
14) D. A. Edwards and R. Geoghegan, Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction, Ann. of Math., 101 (1975), 521-535.
15) Y. Kodama, On embeddings of spaces into ANR and shapes, J. Math. Soc. Japan., 27 (1975), 533-544.
16) Y. Kodama and T. Watanabe, A note on Borsuk's n-movability, Bull. Acad. Polon. Sci., 22 (1974), 289-294.
17) Y. Kodama and J. Ono, On fine shape theory, to appear in Fund. Math.
18) S. Mardešic, n-dimensional LC^n-1 compacta are movable, Bull. Acad. Polon. Sci., 19(1971), 505-509.
19) S. Mardešic, On the Whitehead theorem in shape theory I, Fund. Math., 80 (1973), 221-263.
20) S. Mardešic and J. Segal, Movable compacta and ANR-systems, Bull. Acad. Polon. Sci., 18 (1970), 649-654.
21) M. Moszynska, The Whitehead theorem in the theory of shapes, Fund. Math., 80 (1973), 221-263.
22) K. Sakai, Some properties of MAR and MANR, to appear in Tohoku Math. J.
23) R.B. Sher, Property SUV^∞ and proper shape theory, Trans. Amer. Math. Soc., 190 (1974), 345-356.
24) L. C. Siebenmann, L. Guillou et H. Hahl, Les voisinages reguliers: criteres homotopiques d'existence, Ann. Sci. École Norm. Sup., 7 (1974), 431-462.

Right : [1] R. D. Anderson, On topological infinite deficiency, Michigan Math. J., 14 (1967), 365-383.
[2] R. D. Anderson, D. W. Henderson and J. E. West, Negligible subsets of infinite-dimensional manifolds, Composition Math., 21 (1969), 143-150.
[3] K. Borsuk, Theory of retracts, Monografie Matematyczne 44, Warszawa, 1967.
[4] K. Borsuk, Concerning homotopy properties of compacta, Fund. Math., 62 (1968), 223-254.
[5] K. Borsuk, Fundamental retracts and extensions of fundamental sequences, Fund. Math., 64 (1969), 55-85.
[6] K. Borsuk, On movable compacta, Fund. Math., 66 (1969), 137-146.
[7] K. Borsuk, On the n-movability, Bull. Acad. Polon. Sci., 20 (1972), 859-869.
[8] K. Borsuk, Theory of shape, Monografie Matematyczne 59, Warszawa, 1975.
[9] T. A. Chapman, On some applications of infinite-dimensional manifolds to the theory of shape, Fund. Math., 76 (1967), 261-276.
[10] C. Cox, Three questions of Borsuk concerning movability and fundamental retraction, Fund. Math., 80 (1973), 169-179.
[11] J. Dugundji, An extension of Tietze's theorem, Pacific J. Math., 1 (1951), 353-367.
[12] J. Dydak, S. Nowak and M. Strok, On the union of two FANR-sets, Bull. Acad. Polon. Sci., 24 (1976), 485-489.
[13] J. Dydak, A simple proof that pointed connected FANR-spaces are regular fundamental retracts of ANR's, Bull. Acad. Polon. Sci., 25 (1977), 55-62.
[14] D. A. Edwards and R. Geoghegan, Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction, Ann. of Math., 101 (1975), 521-535.
[15] Y. Kodama, On embeddings of spaces into ANR and shapes, J. Math. Soc. Japan., 27 (1975), 533-544.
[16] Y. Kodama and T. Watanabe, A note on Borsuk's n-movability, Bull. Acad. Polon. Sci., 22 (1974), 289-294.
[17] Y. Kodama and J. Ono, On fine shape theory, to appear in Fund. Math.
[18] S. Mardešic, n-dimensional LC^n-1 compacta are movable, Bull. Acad. Polon. Sci., 19(1971), 505-509.
[19] S. Mardešic, On the Whitehead theorem in shape theory I, Fund. Math., 80 (1973), 221-263.
[20] S. Mardešic and J. Segal, Movable compacta and ANR-systems, Bull. Acad. Polon. Sci., 18 (1970), 649-654.
[21] M. Moszynska, The Whitehead theorem in the theory of shapes, Fund. Math., 80 (1973), 221-263.
[22] K. Sakai, Some properties of MAR and MANR, to appear in Tôhoku Math. J.
[23] R. B. Sher, Property SUV^∞ and proper shape theory, Trans. Amer. Math. Soc., 190 (1974), 345-356.
[24] L. C. Siebenmann, L. Guillou et H. Hahl, Les voisinages reguliers: criteres homotopiques d'existence, Ann. Sci. École Norm. Sup., 7 (1974), 431-462.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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