Point-set theory and more general set theory were fairly well established as fields of mathematics by the beginning of the twentieth century. The ideas and results of Cantor and Dedekind and those developing them furtherwere having considerable impact in the mathematical community. In particular, various mathematicians were taking point-set-theoretic approaches in seeking to solve geometric problems.

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Problems of Curves and Dimension in the Early Twentieth Century

  • Dale Martin Johnson

摘要

Point-set theory and more general set theory were fairly well established as fields of mathematics by the beginning of the twentieth century. The ideas and results of Cantor and Dedekind and those developing them furtherwere having considerable impact in the mathematical community. In particular, various mathematicians were taking point-set-theoretic approaches in seeking to solve geometric problems.