Some new directions in infinite-combinatorial topology
- Speaker(s)
- Boaz Tsaban
- Affiliation
- Weizmann Institute of Science
- Date
- Nov. 17, 2004, 4:15 p.m.
- Information about the event
- 5081
- Seminar
- Topology and Set Theory Seminar
By "infinite-combinatorial topology" we mean a study of
topological objects using tools and ideas from infinitary
combinatorics.
We will give an introduction to the part of this field
which deals with topological selection principles (i.e.,
hypotheses concerning the ability to diagonalize sequences
of open covers of a given topological space).
This is an elegant unified framework introduced by Scheepers
to study many classical as well as some new notions in
set theoretic topology (e.g.: Menger property,
Hurewicz property, Rothberger property C'', Gerlits-Nagy
gamma-property, etc. -- all definitions will be given in
the talk).
Starting from historical motivations and basic definitions,
we will survey some results obtained in the last few years.
Some of the easier proofs will be sketched, and
many fascinating open problems will be introduced.
The talk does not assume prior knowledge.