Not only did 1863 mark the first important work by Cantor, but it also was the year in which he was promoted to extraordinary professor at Heidelberg.
Hindi lamang did 1863 markahan ang mga unang mahalagang trabaho sa pamamagitan ng kantor, ngunit ito rin ay ang taon kung saan siya ay katangi-tangi sa itaas propesor sa Heidelberg.