Dimension for σ-metric spaces

Keiô NAGAMI

doi:10.2969/jmsj/02310123

Keiô NAGAMI

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JOURNAL FREE ACCESS

1971 Volume 23 Issue 1 Pages 123-129

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

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Published: 1971 Received: May 15, 1970 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Keio NAGAMI¹⁾
Right : Keiô NAGAMI¹⁾²⁾

Date of correction: September 29, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Ehime University University of Pittsburgh

Right :
1) Ehime University
2) University of Pittsburgh

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: 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.

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