Two classes of Darboux-like, Baire one functions of two variables
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 549-569
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Among the many characterizations of the class of Baire one, Darboux real-valued functions of one real variable, the 1907 characterization of Young and the 1997 characterization of Agronsky, Ceder, and Pearson are particularly intriguing in that they yield interesting classes of functions when interpreted in the two-variable setting. We examine the relationship between these two subclasses of the real-valued Baire one defined on the unit square.
@article{CMJ_2010__60_2_a19,
author = {Evans, Michael J. and Humke, Paul D.},
title = {Two classes of {Darboux-like,} {Baire} one functions of two variables},
journal = {Czechoslovak Mathematical Journal},
pages = {549--569},
publisher = {mathdoc},
volume = {60},
number = {2},
year = {2010},
mrnumber = {2657969},
zbl = {1224.26040},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a19/}
}
TY - JOUR AU - Evans, Michael J. AU - Humke, Paul D. TI - Two classes of Darboux-like, Baire one functions of two variables JO - Czechoslovak Mathematical Journal PY - 2010 SP - 549 EP - 569 VL - 60 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a19/ LA - en ID - CMJ_2010__60_2_a19 ER -
Evans, Michael J.; Humke, Paul D. Two classes of Darboux-like, Baire one functions of two variables. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 549-569. http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a19/