Bad(s,t) is hyperplane absolute winning

• Autorzy: Erez Nesharim , David Simmons
• Języki publikacji: EN

Abstrakty

EN

J. An proved that for any s,t ≥ 0 such that s + t = 1, Bad (s,t) is (34√2)¯¹-winning for Schmidt's game. We show that using the main lemma from [An] one can derive a stronger result, namely that Bad (s,t) is hyperplane absolute winning in the sense of [BFKRW]. As a consequence, one can deduce the full Hausdorff dimension of Bad (s,t) intersected with certain fractals.

Kategorie tematyczne

• 11J13: Simultaneous homogeneous approximation, linear forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 164
• Numer: 2
• Strony: 145-152

Daty

wydano

2014

Twórcy

autor

Erez Nesharim

• School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 6997801, Israel

autor

David Simmons

• Department of Mathematics, Ohio State University, 231 W. 18th Avenue, Columbus, OH 43210-1174, U.S.A.

Identyfikatory

DOI

10.4064/aa164-2-4