The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

An Isaac Newton Institute Workshop

Model Theory, Algebraic and Analytic Geometry

Betti numbers of definable sets

15th July 2005

Author: A. Gabrielov (Purdue )

Abstract

A spectral sequence associated with a surjective closed mapping allows one to provide upper bounds for the Betti numbers of a wide class of sets defined by formulas with quantifiers in terms of the Betti numbers of auxiliary sets defined by quantifier-free formulas. A review of the recent development in this direction will be presented