Publisher
Mathematical Society of Japan (JST)
Reference59 articles.
1. 1) The sum theorem for normal spaces was first proved by E. Cech and recently by A. D. Wallace and E. Hemmingsen. E. Cech: Contribution à la théorie de la dimension. Cas. mat. fys., 62 (1933), pp. 277-290.
2. 1) A. D. Wallace: Dimensional types. Bull. Amer. Math. Soc., 51 (1945), pp. 679-681.
3. 1) E. Hemmingsen: Some theorems in dimension theory for normal Hausdorff spaces. Duke Math. Jour., 13 (1946), pp. 495-504. It is our great regret that we can not know Cech's proof. We could only read a review of his paper in Zentralblatt 7 (1934). The last paper we found also after the present work was completed.
4. 2) W. Hurewicz, Math. Ann., 100 (1928), pp. 627-633.
5. 3) S. Eilenberg et E. Otto: Quelques propriétés caractéristique de la dimension. Fund. Math., 31 (1938), pp. 149-153.
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