Function defined everywhere but continuous nowhere - Printable Version +- MKLab (https://mklab.gr) +-- Forum: [INDEX] (https://mklab.gr/forumdisplay.php?fid=1) +--- Forum: MATHEMATICS (https://mklab.gr/forumdisplay.php?fid=3) +---- Forum: ARTICLES (https://mklab.gr/forumdisplay.php?fid=13) +---- Thread: Function defined everywhere but continuous nowhere (/showthread.php?tid=520)

Function defined everywhere but continuous nowhere - mklabgr - 06-21-2026 Function defined everywhere but continuous nowhere BY math.stackexchange.com Summary The Math Stack Exchange discussion asks whether there exists a function $f:R→R$ that is defined for every real number yet continuous nowhere. Several respondents point out that such functions are not only possible but quite common in a mathematical sense. ARTICLE