On some representations of almost everywhere continuous functions on ${ℝ}^m$

Ewa Strońska. "On some representations of almost everywhere continuous functions on $ℝ^{m}$." Colloquium Mathematicae 105.2 (2006): 319-331. <http://eudml.org/doc/286226>.

@article{EwaStrońska2006,
abstract = {It is proved that the following conditions are equivalent: (a) f is an almost everywhere continuous function on $ℝ^\{m\}$; (b) f = g + h, where g,h are strongly quasicontinuous on $ℝ^\{m\}$; (c) f = c + gh, where c ∈ ℝ and g,h are strongly quasicontinuous on $ℝ^\{m\}$.},
author = {Ewa Strońska},
journal = {Colloquium Mathematicae},
keywords = {continuity; strong quasicontinuity; density topology; sums of functions; products of functions},
language = {eng},
number = {2},
pages = {319-331},
title = {On some representations of almost everywhere continuous functions on $ℝ^\{m\}$},
url = {http://eudml.org/doc/286226},
volume = {105},
year = {2006},
}

TY - JOUR
AU - Ewa Strońska
TI - On some representations of almost everywhere continuous functions on $ℝ^{m}$
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 2
SP - 319
EP - 331
AB - It is proved that the following conditions are equivalent: (a) f is an almost everywhere continuous function on $ℝ^{m}$; (b) f = g + h, where g,h are strongly quasicontinuous on $ℝ^{m}$; (c) f = c + gh, where c ∈ ℝ and g,h are strongly quasicontinuous on $ℝ^{m}$.
LA - eng
KW - continuity; strong quasicontinuity; density topology; sums of functions; products of functions
UR - http://eudml.org/doc/286226
ER -