SPM Bulletin 12

Abstract

In this issue we celebrate the appearance of the proceedings of the first SPM Workshop, announce several mathematical breakthroughs, have two extended contributions by Babinkostova, and a new open problem by Kalenda. Contents: Editor's note; Proceedings of the first workshop on Coverings, Selections, and Games in Topology; A five element basis for the uncountable linear orders; Set mapping reflection; The Proper Forcing Axiom, Prikry forcing, and the Singular Cardinals Hypothesis; A solution to the L space problem and related ZFC constructions; Countable Tightness, Elementary Submodels and Homogeneity; No transcendence basis of R over Q can be an analytic set; Two properties of C_p(X) weaker than Fr'echet Urysohn property; Some partition properties for measurable colourings of (\aleph_1)^2; Potential theory and forcing; On decompositions of Banach spaces of continuous functions on Mr'owka's spaces; A note on D-spaces; Set-theoretic properties of Schmidt's ideal; Almost-disjoint coding and strongly saturated ideals; Selective screenability and covering dimension; On a problem of Rothberger and Sierpinski; Problem of the Issue; Problems from earlier issues;