Continuity of monotone functions

Lavrič, Boris. "Continuity of monotone functions." Archivum Mathematicum 029.1-2 (1993): 1-4. <http://eudml.org/doc/247443>.

@article{Lavrič1993,
abstract = {It is shown that a monotone function acting between euclidean spaces $R^n$ and $R^m$ is continuous almost everywhere with respect to the Lebesgue measure on $R^n$.},
author = {Lavrič, Boris},
journal = {Archivum Mathematicum},
keywords = {order monotone functions on euclidean spaces; solid set; solid cover; continuity; Lebesgue measure; order monotone function; solid set; solid cover; continuity; points of discontinuity},
language = {eng},
number = {1-2},
pages = {1-4},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Continuity of monotone functions},
url = {http://eudml.org/doc/247443},
volume = {029},
year = {1993},
}

TY - JOUR
AU - Lavrič, Boris
TI - Continuity of monotone functions
JO - Archivum Mathematicum
PY - 1993
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 029
IS - 1-2
SP - 1
EP - 4
AB - It is shown that a monotone function acting between euclidean spaces $R^n$ and $R^m$ is continuous almost everywhere with respect to the Lebesgue measure on $R^n$.
LA - eng
KW - order monotone functions on euclidean spaces; solid set; solid cover; continuity; Lebesgue measure; order monotone function; solid set; solid cover; continuity; points of discontinuity
UR - http://eudml.org/doc/247443
ER -