Ondrej KURKA: Tsirelson-like spaces and complexity of classes of Banach spaces

ABSTRACT: During the last two decades, methods of descriptive set theory were
succesfully applied in Banach space theory. However, the question
of descriptive complexity is not answered for many natural classes
of separable Banach spaces. In the talk, we will present an approach
to complexity problems which is based on a fundamental example of
Tsirelson. Using a result of Argyros and Deliyanni, we will show that
the class of spaces embeddable into $ c_0 $ is complete analytic.