|
Session 36. Topology in Functional Analysis
|
Productively Lindelöf Spaces |
Lyubomyr Zdomskyy, University of Vienna, Austria
|
The talk is based on the joint work with Andrea Medini
|
|
|
E. Michael asked whether every productively Lindelöf space is
powerfully Lindelöf. We show that, assuming the Continuum
Hypothesis, every productively Lindelöf space of countable
tightness is powerfully Lindelöf. This strengthens a result of
Tall and Tsaban. We also show that separation axioms are not
relevant to Michael's question: if there exists any counterexample
(possibly not even \(T_0\)), then there exists a regular (actually,
zero-dimensional) counterexample. Also, we will present a forcing
construction of productively Lindelöf spaces which might lead to
a partial negative solution of this question.
|
|
| Print version |
|
