Re: [math-fun] Extremely discontinuous function

Yes, also by the great late J. H. Conway: https://en.wikipedia.org/wiki/Conway_base_13_function It's actually stronger than what you've asked for; it takes every real value on every nontrivial interval. -- APG.

Sent: Tuesday, April 14, 2020 at 5:32 PM From: "Allan Wechsler" <acwacw@gmail.com> To: math-fun <math-fun@mailman.xmission.com> Subject: [math-fun] Extremely discontinuous function

Intuitively, there ought to be a R->R function whose graph is dense in R^2. But I haven't been able to come up with one quickly. Is there a classic example? _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun