Vol. 38, No. 3, 1971

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New concepts in the theory of topological space—supercondensed set, subcondensed set, and condensed set

Yoshinori Isomichi

Vol. 38 (1971), No. 3, 657–668
Abstract

A set which satisfies Aai = Ai(Aia = Aa) is named a supercondensed (subcondensed) set. A supercondensed and subcondensed set is named a condensed set. Theorems about these new concepts are discussed in this paper.

Sets of the topological space are classified into three classes by comparing Aai and Aia.

Mathematical Subject Classification 2000
Primary: 54B05
Milestones
Received: 23 November 1970
Published: 1 September 1971
Authors
Yoshinori Isomichi