Two classes of Darboux-like, Baire one functions of two variables
Michael J. Evans; Paul D. Humke
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 2, page 549-569
- ISSN: 0011-4642
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topEvans, Michael J., and Humke, Paul D.. "Two classes of Darboux-like, Baire one functions of two variables." Czechoslovak Mathematical Journal 60.2 (2010): 549-569. <http://eudml.org/doc/38027>.
@article{Evans2010,
abstract = {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.},
author = {Evans, Michael J., Humke, Paul D.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Woodcutters Problem; Baire one; Darboux; woodcutter's problem; Baire one; Darboux function},
language = {eng},
number = {2},
pages = {549-569},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two classes of Darboux-like, Baire one functions of two variables},
url = {http://eudml.org/doc/38027},
volume = {60},
year = {2010},
}
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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 2
SP - 549
EP - 569
AB - 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.
LA - eng
KW - Woodcutters Problem; Baire one; Darboux; woodcutter's problem; Baire one; Darboux function
UR - http://eudml.org/doc/38027
ER -
References
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