By the 1880s most mathematicians thought that Cantor’s paradox about dimension had been dealt with or explained away by either Netto’s or Cantor’s proof of dimensional invariance. Jurgens was virtually the only one to voice dissent, but his acute criticism of Netto’s proof went largely unnoticed. The consensus apparently was that the invariance problem for dimension had been solved.

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Early Development of Point-Set Theory and Point-Set Topology

  • Dale Martin Johnson

摘要

By the 1880s most mathematicians thought that Cantor’s paradox about dimension had been dealt with or explained away by either Netto’s or Cantor’s proof of dimensional invariance. Jurgens was virtually the only one to voice dissent, but his acute criticism of Netto’s proof went largely unnoticed. The consensus apparently was that the invariance problem for dimension had been solved.