Title of article
Density versions of Schurʹs theorem for ideals generated by submeasures
Author/Authors
Filip?w، نويسنده , , Rafa? and Szuca، نويسنده , , Piotr، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
14
From page
943
To page
956
Abstract
We characterize ideals of subsets of natural numbers for which some versions of Schurʹs theorem hold. These are similar to generalizations shown by Bergelson (1986) in [1] and Frankl, Graham and Rِdl (1990) in [7]. Additionally, we prove a generalization of an iterated version of Ramseyʹs theorem.
Keywords
Bolzano–Weierstrass theorem , Ideal convergence , Bolzano–Weierstrass property , Statistical density , Statistical convergence , Schurיs theorem , Subsequence
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2010
Journal title
Journal of Combinatorial Theory Series A
Record number
1531517
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