SPM Bulletin 17

CONTENTS: Lecce Workshop presentations available online; Borel cardinalities below c_0; Hereditarily non-topologizable groups; A hodgepodge of sets of reals; Random gaps; Covering a bounded set of functions by an increasing chain of slaloms; Baire-one mappings contained in a usco map; Applications of k-covers II; Additivity numbers of covering properties; Combinatorial images of sets of reals and semifilter trichotomy; Another algebraic equivalent of the Continuum Hypothesis; A connection between decomposable ultrafilters and possible cofinalities II; Game Approach to Universally Kuratowski-Ulam Spaces; On the density of Banach spaces C(K) with the Grothendieck property; Antichains in partially ordered sets of singular cofinality; Bolzano-Weierstrass principle of choice extended towards ordinals; Nonequality of Dimensions for Metric Groups; Not all pure states on B(H) are diagonalizable; A comment on p<t; Problem of the Issue.