More on the Borwein-Ditor Theorem
DOI:
https://doi.org/10.5644/SJM.08.2.15Abstract
In 1978 D. Borwein and S. Z. Ditor published a paper answering a question of P. Erdos. Since then several authors including N. Bingham, P. Komjath, H. Miller, L. Miller-Van Wieren, A. Ostaszewski have generalized and extended their result. In this paper a significant generalization of all previous results is presented.
2000 Mathematics Subject Classification. 40D25, 40G99, 28A12
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References
D. Borwein and S. Z. Ditor, Translates of sequences in sets of positive measure, Canad. Math. Bull., 21 (1978), 497–498.
H.I. Miller, Generalization of a result of Borwein and Ditor, Proc. Amer. Math. Soc., 105 (4) (1989), 889-893.
N.H. Bingham and A.J. Ostazewski, Homotopy and the Kestelman-Borwein-Ditor theorem, Canad. Math. Bull., 54 (1) (2011), 12–20.
H. I. Miller and L. Miller-Van Wieren, Translates of sequences for some small sets, Sarajevo J. Math., 7 (2) (2011), 201–205.
H.I. Miller and A.J. Ostaszewski, Group action, shift compactness and the KBD theorem, JMAA, online (2012), 22–39.
