On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous

Zbigniew Grande. "On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous." Colloquium Mathematicae 114.2 (2009): 237-243. <http://eudml.org/doc/283424>.

@article{ZbigniewGrande2009,
abstract = {Let I ⊂ ℝ be an open interval and let A ⊂ I be any set. Every Baire 1 function f: I → ℝ coincides on A with a function g: I → ℝ which is simultaneously approximately continuous and quasicontinuous if and only if the set A is nowhere dense and of Lebesgue measure zero.},
author = {Zbigniew Grande},
journal = {Colloquium Mathematicae},
keywords = {density topology; approximate continuity; quasicontinuous extension; first Baire class},
language = {eng},
number = {2},
pages = {237-243},
title = {On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous},
url = {http://eudml.org/doc/283424},
volume = {114},
year = {2009},
}

TY - JOUR
AU - Zbigniew Grande
TI - On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 2
SP - 237
EP - 243
AB - Let I ⊂ ℝ be an open interval and let A ⊂ I be any set. Every Baire 1 function f: I → ℝ coincides on A with a function g: I → ℝ which is simultaneously approximately continuous and quasicontinuous if and only if the set A is nowhere dense and of Lebesgue measure zero.
LA - eng
KW - density topology; approximate continuity; quasicontinuous extension; first Baire class
UR - http://eudml.org/doc/283424
ER -