# Typical Dynamics of Volume Preserving Homeomorphisms III

## Speaker:

Andrew-David Bjork

## Institution:

UCI

## Time:

Monday, October 30, 2006 - 3:00pm

## Location:

MSTB 256

Andrew-David Bjork

UCI

Monday, October 30, 2006 - 3:00pm

MSTB 256

Andrew-David Bjork

UCI

Monday, November 6, 2006 - 3:00pm

MSTB 256

Professor Joan Bagaria

ICREA, Barcelona, Spain

Monday, November 13, 2006 - 4:00pm

MSTB 256

We present some exact equiconsistency results on the preservation

of the property of L(R) being a Solovay model under various classes of

projective forcing extensions. As an application we build models in which MA

holds for $\Sigma^1_n$ partial orderings, but it fails for the

$\Sigma^1_{n+1}$.

Andrew-David Bjork

UCI

Monday, November 13, 2006 - 3:00pm

MSTB 256

Andrew-David Bjork

UCI

Monday, November 20, 2006 - 3:00pm

MSTB 256

Andrew-David Bjork

UCI

Monday, November 27, 2006 - 3:00pm

MSTB 256

Andrew-David Bjork

UCI

Monday, January 22, 2007 - 4:00pm

MSTB 256

Andrew-David Bjork

UCI

Monday, December 4, 2006 - 3:00pm

MSTB 256

Professor Alain Louveau

CNRS and Universite de Paris VI

Monday, December 4, 2006 - 4:00pm

MSTB 256

It is proved that the relation of isomorphism between separable Banach

spaces is a complete analytic equivalence relation, i.e., that any

analytic equivalence relation Borel reduces to it. Thus, separable Banach

spaces up to isomorphism provide complete invariants for a great number of

mathematical structures up to their corresponding notion of isomorphism.

Andrew-David Bjork

UCI

Monday, October 16, 2006 - 3:00pm

MSTB 256