Sets with the Bernstein and generalized Markov properties

Mirosław Baran, and Agnieszka Kowalska. "Sets with the Bernstein and generalized Markov properties." Annales Polonici Mathematici 111.3 (2014): 259-270. <http://eudml.org/doc/280299>.

@article{MirosławBaran2014,
abstract = {It is known that for $C^\{∞\}$ determining sets Markov’s property is equivalent to Bernstein’s property. We are interested in finding a generalization of this fact for sets which are not $C^\{∞\}$ determining. In this paper we give examples of sets which are not $C^\{∞\}$ determining, but have the Bernstein and generalized Markov properties.},
author = {Mirosław Baran, Agnieszka Kowalska},
journal = {Annales Polonici Mathematici},
keywords = {Bernstein's property; Markov's property; algebraic sets},
language = {eng},
number = {3},
pages = {259-270},
title = {Sets with the Bernstein and generalized Markov properties},
url = {http://eudml.org/doc/280299},
volume = {111},
year = {2014},
}

TY - JOUR
AU - Mirosław Baran
AU - Agnieszka Kowalska
TI - Sets with the Bernstein and generalized Markov properties
JO - Annales Polonici Mathematici
PY - 2014
VL - 111
IS - 3
SP - 259
EP - 270
AB - It is known that for $C^{∞}$ determining sets Markov’s property is equivalent to Bernstein’s property. We are interested in finding a generalization of this fact for sets which are not $C^{∞}$ determining. In this paper we give examples of sets which are not $C^{∞}$ determining, but have the Bernstein and generalized Markov properties.
LA - eng
KW - Bernstein's property; Markov's property; algebraic sets
UR - http://eudml.org/doc/280299
ER -