F(sigma)滤子的组合性质及其在N-集上的应用
Combinatorial aspects of F(sigma) filters with an application to N-sets
摘要:
我们讨论F(西格玛)过滤器,并表明,生成不可对角化的过滤器包括在一些F(西格玛)过滤器的过滤器基地的最小尺寸是更好地了解有界规避数e(ubd)。给出了三角级数在N-集合上的一个应用,证明了如果A是N-集合,B的大小小于e(ubd),则A+B也是N-集合.
英文摘要:
We discuss F(sigma) filters and show that the minimum size of a filter base generating an undiagonalizable filter included in some F(sigma) filter is the better known bounded evasion number e(ubd). An application to N-sets from trigonometric series is given by showing that if A is an N-set and B has size less e(ubd), then A+B is again an N-set.
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