This issue contains announcements of articles on:
The Pytkeev property; Partial order embeddings; Resolvability; Singular density; P(w)/fin and the Calkin algebra; Everywhere meagre and everywhere null sets; almost disjoint families; forcing axioms; Splitting families; Sacks Reals; unconditionally closed and algebraic sets in groups; Stratifiability; Dissipated Compacta; partition relations; pi-bases; covering by translates of a compact nullsets; and a new Problem of the Issue.
This issue contains a number of abstracts of papers directly related to selection principles, some of which presented at the conference SPMC2012, and the announcement of the solution of Malyhin's Problem.
This issue surveys some of the activities in the field since the previous issue, and announces a conference fully dedicated to the topic of selection principles.
In addition to announcements of several new papers, this issue contains a brief personal memorandum for Misha Matveev. The issue also announces the coming SPM meeting (June 2012).
In addition to research announcements, this issue features a call for papers to a Topology and its Applications special issue, and an intriguing open problem.
This is the 34th issue of this bulletin, dedicated to selection principles in mathematics. Announcements include, among other things, a call for papers for the Topology and its Applications special issue on selection principles, and the solution of the minimal tower problem in a surprising way.
In addition to 29 announcements in related areas, this issue contains several contributions to "core" SPM: Measurable cardinals and the cardinality of Lindelof spaces; Topological games and covering dimension; Menger's and Hurewicz's Problems: Solutions from "The Book" and refinements; Point-cofinite covers in the Laver model; Projective versions of selection principles
In addition to a number of new developments in the field, this issue announces the completion of the special issue of Topology and its Applications, dedicated to the proceedings of the Fourth Workshop on Coverings, Selections and Games in Topology, on the occasion of Ljubiša D.R. Kočinac's 65th birthday.
In the year 2014, the field of selection principles found its way into several additional, fascinating mathematical realms. The field enters the consensus as a mainstream part of set theory and topology, and as a promising direction for young researchers that are well trained in these fields. Some of the interesting developments in the field during 2014 are reported in this issue.
With the approaching TOPOSYM'16 (http://www.toposym.cz/programme.php), it is a pleasure to see selection principles gain increasing attention and becoming a standard part of topology and set theory. At least eight of the 28 speakers, and a good number of the contributed lecture speakers, made substantial contributions to this topic in their career. For some of these, SPs constitute the main topic of research in the last few years. This is in accordance with the continuous progress on the topic, some of which reported in this bulletin.
CONTENTS: A surprising covering of the real line Unions of chains in dyadic compact spaces and topological groups On the Pytkeev property in spaces of continuous functions Selection principles related to alpha_i-properties On the Kocinac alpha_i properties A new selection principle First Countable Continua and Proper Forcing The convergence space of minimal usco mappings D-forced spaces: a new approach to resolvability Resolvability of spaces having small spread or extent Resolvability and monotone normality Isomorphism of Borel full groups A Poset Hierarchy Infinite asymptotic games Elementar…
Contents: 1. Editor's note; 2. gamma-sets from a weak hypothesis; 3. Research announcements; 3.1. Ultrafilters with property (s); 3.2. On a converse to Banach's Fixed Point Theorem; 3.3. Analytic groups and pushing small sets apart 3.4. Club-guessing, stationary reflection, and coloring theorems; 3.5. More on the pressing down game; 3.6. A note on discrete sets; 3.7. Antidiamond principles and topological applications; 3.8. Partitions and indivisibility properties of countable dimensional vector spaces; 3.9. Group-valued continuous functions with the topology of pointwise convergence; 3.10. St…
Contents: 1. Editor's note 2. Research announcements 2.1. Pseudocompact group topologies with no infinite compact subsets 2.2. Selective coideals on (FIN[1]k) 2.3. Entire functions mapping uncountable dense sets of reals onto each other monotonically 2.4. Effective refining of Borel coverings 2.5. Symmetry and colorings: Some results and open problems 2.6. Many partition relations below density 2.7. Lindelof indestructibility, topological games and selection principles 2.8. Locally precompact groups: (Local) realcompactness and connectedness 2.9. The group Aut is Roelcke precompact 2.10. An in…
