On the topological spaces with the $\mathfrak{B}$-property

Tsugio Tani, Yoshikazu Yasui · Proceedings of the Japan Academy Series A Mathematical Sciences · 1972

Recently, P. Zenor [9] defined the topological class contained in the countably paracompact spaces.It is the generalization of C. H. Dowker ([l], Theorem 2) or F. Isikawa [2].On the other hand, S. Sasada [7] defined the c-spaces (i=1,2) in addition the normality (normal 3-spaces are c2-spaces).The purpose o this paper is to study some characterizations and properties of 3-spaces.F. Isikawa [2] proved the following theorem"Theorem 1.In order that a topological space be countably para-

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