TL;DR
This bulletin compiles recent research and invited contributions on topics like ultrafilters, small sets, inverse systems, Borel hierarchies, and analytic digraphs, highlighting advances in set theory and topology.
Contribution
It presents new results on ultrafilters, small sets, and Borel hierarchies, along with research announcements on inverse systems and analytic digraphs.
Findings
Characterization of analytic digraphs with uncountable Borel chromatic number
New principles for sigma-directed families of countable sets
Borel hierarchies in infinite products of Polish spaces
Abstract
Contents: 2. Invited contribution: Ultrafilters and small sets 3. Research announcements 3.1. Inverse Systems and I-Favorable Spaces 3.2. Combinatorial and hybrid principles for sigma-directed families of countable sets modulo finite 3.3. A dichotomy characterizing analytic digraphs of uncountable Borel chromatic number in any dimension 3.4. A dichotomy characterizing analytic digraphs of uncountable Borel chromatic number in any dimension 3.5. Large continuum, oracles 3.6. Borel hierarchies in infinite products of Polish spaces 3.7. A game for the Borel functions 3.8. On some problems in general topology 4. Problem of the Issue
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · Advanced Banach Space Theory