On recent developments and concepts in the algebraic topology of non-tame spaces.
by
Andreas Zastrow
University of Gdansk, Poland

In contrast to the long tradition that topology (including the study of non-tame spaces) and the use of algebraic invariants of non-tame spaces do have, there has not been a systematic study of algebraic invariants of non-tame spaces before the nineties. However, meanwhile there are some working groups on this subject (K.Eda, K.Kawamura, J.Cannon, G.Conner, A.Sieradski, B.Bogley). The talk should first include some motivating examples, why in a non-tame (e.g. locally complicated) situation the classical algebraic invariants do not behave natural. It should further tell a bit about the methods that are sometimes necessary to show that in other contexts such unexpected behaviour is not given. As a last topic it should mention some of the concepts that have been suggested for defining new algebraic invariants that are do better reflect the structure of locally complicated spaces than do the classical invariants.

Date received: February 28, 2001