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We introduce a combinatorial notion of measures called Rudin-Keislercapturing and use it to give a new construction of elementary substructuresaround singular cardinals. The new construction is used to establish mutualstationary results at the first successor of singular cardinals $\langle\aleph_{\omega n + 1}\rangle_{n< \omega}$.

Rudin-Keisler capturing and Mutual Stationairy at successors of Singulars