Harper, J F2008-08-292022-07-072008-08-292022-07-0720072007https://ir.wgtn.ac.nz/handle/123456789/19218There are surprisingly many essentially different definitions of continuity even of a real function of one real variable. This paper shows that the definitions in various textbooks published from 1893 to 1992 have some very different consequences, and that one error that was noticed and corrected in 1904 reappeared in a 1907 book.pdfen-NZContinuous functionContinuityFunctionsText