Dimension for σ-metric spaces

Keiô NAGAMI

doi:10.2969/jmsj/02310123

Keiô NAGAMI

著者情報

ジャーナルフリー

1971 年 23 巻 1 号 p. 123-129

DOI https://doi.org/10.2969/jmsj/02310123

詳細

Published: 1971 Received: 1970/05/15 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Keio NAGAMI¹⁾
Right : Keiô NAGAMI¹⁾²⁾

訂正日: 2006/09/29 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Ehime University University of Pittsburgh

訂正後 :
1) Ehime University
2) University of Pittsburgh

訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. Arhangelskii, On closed mappings, bicompact spaces, and a problem of P. Alexandroff, Pacific J. Math., 18 (1966), 201-208.
2) R. H. Bing, Metrization of topological spaces, Canad. J. Math., 3 (1951), 175-186.
3) J. Ceder, Some generalizations of metric spaces, Pacific J. Math., 11 (1961), 105-125.
4) C. H. Dowker, Homology groups of relations, Ann. of Math., 56 (1952), 84-95.
5) M. K. Fort, Jr., Extensions of mappings into n-cubes, Proc. Amer. Math. Soc., 7 (1956), 539-542.
6) O. Hanner, Retraction and extension of mappings of metric and nonmetric spaces, Ark. Mat., 2 (1952), 315-360.
7) R. Hodel, Sum theorems for topological spaces, forthcoming.
8) M. Katetov, On the dimension of non-separable spaces I, Czech. Math. J., 2 (1952), 333-368.
9) E. Michael, Point-finite and locally finite coverings, Canad. J. Math., 7 (1955), 275-279.
10) K. Morita, On closed mappings and dimension, Proc. Japan Acad., 32 (1956), 161-165.
11) K. Morita, Products of normal spaces with metric spaces, Math. Ann., 154 (1964), 365-382.
12) K. Nagami, Mappings of finite order and dimension theory, Japan. J. Math., 30 (1960), 25-54.
13) K. Nagami, A note on Hausdorff spaces with the star-finite property II, III, Proc. Japan Acad., 37 (1961), 189-192 and 356-357.
14) K. Nagami, Monotone sequence of 0-dimensional subsets of metric spaces, Proc. Japan Acad., 41 (1965), 771-772.
15) K. Nagami, Dimension theory, Academic Press, New York, 1970.
16) J. Nagata, On the countable sum of zero-dimensional metric spaces, Fund. Math., 48 (1960), 1-14.
17) J. Nagata, Modern dimension theory, Wiley, New York, 1965.
18) A. Okuyama, Some generalizations of metric spaces, their metrization theorems and product spaces, Sci. Rep. Tokyo Kyoiku Daigaku sect. A, 9, (1967), 236-254.
19) A. Okuyama, σ-spaces and closed mappings II, Proc. Japan Acad., 44 (1968), 478-481.
20) S. Sakai, On extensions of mappings into n-cubes, Proc. Japan Acad., 44 (1968), 939-943.

Right : [1] A. Arhangelskii, On closed mappings, bicompact spaces, and a problem of P. Alexandroff, Pacific J. Math., 18 (1966), 201-208.
[2] R. H. Bing, Metrization of topological spaces, Canad. J. Math., 3 (1951), 175-186.
[3] J. Ceder, Some generalizations of metric spaces, Pacific J. Math., 11 (1961), 105-125.
[4] C. H. Dowker, Homology groups of relations, Ann. of Math., 56 (1952), 84-95.
[5] M. K. Fort, Jr., Extensions of mappings into n-cubes, Proc. Amer. Math. Soc., 7 (1956), 539-542.
[6] O. Hanner, Retraction and extension of mappings of metric and nonmetric spaces, Ark. Mat., 2 (1952), 315-360.
[7] R. Hodel, Sum theorems for topological spaces, forthcoming.
[8] M. Katetov, On the dimension of non-separable spaces I, Czech. Math. J., 2 (1952), 333-368.
[9] E. Michael, Point-finite and locally finite coverings, Canad. J. Math., 7 (1955), 275-279.
[10] K. Morita, On closed mappings and dimension, Proc. Japan Acad., 32 (1956), 161-165.
[11] K. Morita, Products of normal spaces with metric spaces, Math. Ann., 154 (1964), 365-382.
[12] K. Nagami, Mappings of finite order and dimension theory, Japan. J. Math., 30 (1960), 25-54.
[13] K. Nagami, A note on Hausdorff spaces with the star-finite property II, III, Proc. Japan Acad., 37 (1961), 189-192 and 356-357.
[14] K. Nagami, Monotone sequence of 0-dimensional subsets of metric spaces, Proc. Japan Acad., 41 (1965), 771-772.
[15] K. Nagami, Dimension theory, Academic Press, New York, 1970.
[16] J. Nagata, On the countable sum of zero-dimensional metric spaces, Fund. Math., 48 (1960), 1-14.
[17] J. Nagata, Modern dimension theory, Wiley, New York, 1965.
[18] A. Okuyama, Some generalizations of metric spaces, their metrization theorems and product spaces, Sci. Rep. Tokyo Kyoiku Daigaku sect. A, 9, (1967), 236-254.
[19] A. Okuyama, σ-spaces and closed mappings II, Proc. Japan Acad., 44 (1968), 478-481.
[20] S. Sakai, On extensions of mappings into n-cubes, Proc. Japan Acad., 44 (1968), 939-943.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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