Discontinuities of monotone functions
id:
discontinuities-of-monotone-functions-252-7714226
title:
Discontinuities of monotone functions
text:
In the mathematical field of analysis, a well-known theorem describes the set of discontinuities of a monotone real-valued function of a real variable; all discontinuities of such a (monotone) function are necessarily jump discontinuities and there are at most countably many of them. Usually, this theorem appears in literature without a name. It is called Froda's theorem in some recent works; in his 1929 dissertation, Alexandru Froda stated that the result was previously well-known and had provi
brand slug:
wiki
category slug:
encyclopedia
description:
Monotone maps have countable discontinuities
original url:
https://en.wikipedia.org/wiki/Discontinuities_of_monotone_functions
date created:
date modified:
2024-01-08T11:11:42Z
main entity:
{"identifier":"Q5505114","url":"https://www.wikidata.org/entity/Q5505114"}
image:
fields total:
13
integrity:
14