A note on the large inductive dimension of totally normal spaces

Keiô NAGAMI

doi:10.2969/jmsj/02120282

Keiô NAGAMI

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1969 Volume 21 Issue 2 Pages 282-290

DOI https://doi.org/10.2969/jmsj/02120282

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Published: 1969 Received: August 08, 1968 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: SUBTITLE Details: Wrong : Dedicated to Professor Atuo Komatu for his 60th birthday

Date of correction: September 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Keio NAGAMI¹⁾
Right : Keiô NAGAMI¹⁾

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C. H. Dowker, Inductive dimension of completely normal spaces, Quart. J. Math. Oxford (2), 4 (1953), 267-281.
2) B. Fitzpatrick, Jr. and R. Ford, On the equivalence of small and large inductive dimension in certain metric spaces, Duke Math. J., 34 (1967), 33-37.
3) R. Ford, Basis properties in dimension theory, Doctoral Dissertation (Auburn University), 1963.
4) Y. Katsuta, A note on the inductive dimension of product spaces, Proc. Japan Acad., 42 (1966), 1011-1015.
5) E. Michael, A note on paracompact spaces, Proc. Amer. Math. Soc., 4 (1953), 831-838.
6) K. Morita, On the dimension of normal spaces II, J. Math. Soc. Japan, 2 (1950), 16-33.
7) K. Morita, On spaces having the weak topology with respect to closed coverings, Proc. Japan Acad., 29 (1953), 537-543.
8) K. Morita, Products of normal spaces with metric spaces, Math. Ann., 154 (1964), 365-382.
9) K. Nagami, On the dimension of product spaces, Proc. Japan Acad., 36 (1960), 560-564.
10) K. Nagami, ∑-spaces, forthcoming.
11) J. Nagata, Modern dimension theory, New York, 1965.

Right : [1] C. H. Dowker, Inductive dimension of completely normal spaces, Quart. J. Math. Oxford (2), 4 (1953), 267-281.
[2] B. Fitzpatrick, Jr. and R. Ford, On the equivalence of small and large inductive dimension in certain metric spaces, Duke Math. J., 34 (1967), 33-37.
[3] R. Ford, Basis properties in dimension theory, Doctoral Dissertation (Auburn University), 1963.
[4] Y. Katsuta, A note on the inductive dimension of product spaces, Proc. Japan Acad., 42 (1966), 1011-1015.
[5] E. Michael, A note on paracompact spaces, Proc. Amer. Math. Soc., 4 (1953), 831-838.
[6] K. Morita, On the dimension of normal spaces II, J. Math. Soc. Japan, 2 (1950), 16-33.
[7] K. Morita, On spaces having the weak topology with respect to closed coverings, Proc. Japan Acad., 29 (1953), 537-543.
[8] K. Morita, Products of normal spaces with metric spaces, Math. Ann., 154 (1964), 365-382.
[9] K. Nagami, On the dimension of product spaces, Proc. Japan Acad., 36 (1960), 560-564.
[10] K. Nagami, Σ-spaces, forthcoming.
[11] J. Nagata, Modern dimension theory, New York, 1965.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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