Johannes Karl Thomae

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Born: 11 Dec 1840 in Germany
Died: 2 March 1921

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Cantor had discovered that the points in n-dimensional space could be put in 1-1 correspondence with the line. In a letter of 1877 to Dedekind he said I see it but I don't believe it . This was published in 1878 but since the correspondence was not continuous many attempts to prove the invariance of dimension using continuity were made.

Thomae was the first to attempt a general proof of the invariance of dimension but it was not satisfactory since the necessary topological tools had not been developed at this time.

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