On CON( ${\mathfrak d}_λ>$ cov $_λ$ (meagre))

preprint2020arXivOpen access

We prove the consistency of: for suitable strongly inaccessible cardinal lambda the dominating number, i.e., the cofinality of ^{lambda}lambda, is strictly bigger than cov_lambda(meagre), i.e. the minimal number of nowhere dense subsets of ^{lambda}2 needed to cover it. This answers a question of Matet.

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On CON( ${\mathfrak d}_λ>$ cov $_λ$ (meagre))

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On CON( ${\mathfrak d}_λ>$ cov $_λ$ (meagre))