It is known that for 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 determining. In this paper we give examples of sets which are not determining, but have the Bernstein and generalized Markov properties.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-3-4, author = {Miros\l aw Baran and Agnieszka Kowalska}, title = {Sets with the Bernstein and generalized Markov properties}, journal = {Annales Polonici Mathematici}, volume = {111}, year = {2014}, pages = {259-270}, zbl = {1311.41006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-3-4} }
Mirosław Baran; Agnieszka Kowalska. Sets with the Bernstein and generalized Markov properties. Annales Polonici Mathematici, Tome 111 (2014) pp. 259-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-3-4/