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Barry Hill and Aby Mitchell introduce a new series on advanced level practice. They describe the frameworks that outline practitioner roles explain how affect patients, services organisations

This work defines a variant of Prikry forcing and applies it to increase the number of normal measures on a single cardinal, relying on a large cardinal property of consistency strength between measurable and Mitchell order two. In particular, from an assumption weaker than o(κ) = 2, there is a forcing extension in which the first measurable cardinal κ has any number λ ≤ κ of normal measures.

The Reflex Sympathetic Dystrophy Syndrome Association estimates that the CRPS affects between 200,000 and 1.2 million Americans. The underlying causes of the syndrome have yet to be defined, and no definitive diagnostic test exists even though CRPS was first described in the late 19th century by the neurologist Silas Weir Mitchell. Mitchell referred to the cluster of symptoms he noticed in some...

In this paper, we investigate the concept of topological stationary for locally compact semigroups. In [4], T. Mitchell proved that a semigroup S is right stationary if and only if m(S) has a left Invariant mean. In this case, the set of values ?(f) where ? runs over all left invariant means on m(S) coincides with the set of constants in the weak* closed convex hull of right translates of f. Th...