School Seminars and Colloquia

Obstruction Theory

Geometry/Topology Seminar

by Oliver May


Institution:
Date: Tue 20th December 2005
Time: 3:15 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: The aim of this talk is to give conditions under which maps
between CW-complexes can be extended over a larger (CW) domain. I begin
by giving an introduction to fibrations and the definition of the
Postnikov tower of a CW-complex and go on to show that certain
cohomological obstruction classes arising from the Postnikov tower
determine whether an extension is possible. Posinikov towers are also
part of the broader theory of rational homotopy mostly due to Quillen and
Sullivan in which the obstruction classes are used in assembling rationally equivalent spaces from products of
Eilenburg-Maclane spaces.

For More Information: Lawrence Reeves email: l.reeves@ms.unimelb.edu.au