Large weight does not yield an irreducible base

Answering a question of Juhasz, Soukup and Szentmikl\'ossy we show that it is consistent that some first countable space of uncountable weight does not contain an uncountable subspace which has an irreducible base

SPM Bulletin 31

Among the many papers announced here, a recent series of papers of Franklin Tall on selective properties (SPM) is noteworthy.Comment: Boaz Tsaban is an editor of this bulleti