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The document discusses the covering numbers of Mycielski ideals Mk and Roslonowski ideals Rk for integers k greater than 1. It is shown that the covering numbers of the Mk ideals are all equal, while the covering numbers of the Rk ideals can be different and independent of their dimension k. Specifically, it is proven that any combination of regular cardinal values for the covering numbers cov(Rk) is possible, as long as the values are non-increasing with k, due to the construction of a finite support itera

Author

Glomse

Language

EN