Set theory plays a key role both in general topology and in Banach space theory. The study of these topics frequently involves infinitary combinatorics, and set-theoretic methods have been largely used in these fields, e.g. for obtaining consistency results and constructing exotic topological and Banach spaces. This session will focus on the interactions between all these fields.
Organizers:
Christina Brech - IME/USP
e-mail: brech@ime.usp.br
Rodrigo Roque Dias - IME/USP
e-mail: roque@ime.usp.br
Invited speakers:
Piotr Borodulin-Nadzieja (University of Wroclaw, Poland)
Carlos Martinez-Ranero (Universidad de Concepción, Chile)
Toshimichi Usuba (Kobe University, Japan)
Measures on Suslinean spaces
Selection principles and chain conditions
CH implies a compact space K is metrizable if K^2 \ $\Delta$ is dominated by the irrationals
Katetov order on MAD families
Reflection theorems for local cardinal functions
Non-universality of the group of isometries of the Urysohn-Katetov metric spaces
Products of free spaces and applications
Generalized side conditions
Large Lindelöf spaces with points G$\delta$
Between paracompactness and the D-property
Adding pathological exhaustive submeasures
Automatic continuity for isometry groups
Characterization of linearly Lindelöf topological spaces through family of discrete sets
On the extent of separable, locally compact, selectively (a)-spaces