How many microbundles are there?
by
David Gauld
University of Auckland, New Zealand

Soon after the introduction of microbundles by Milnor in the early 1960s, Kister effectively put an end to the development of their theory by showing that microbundles over metrisable manifolds are equivalent to fibre bundles. The recent proof that Kister's theorem really only applies to metrisable manifolds, which is the subject of a separate talk in this conference, raises a number of questions. In this talk we will answer the question raised in the title, showing that there are 2^\Aleph₁ microbundles over the long ray.

Date received: July 8, 1997

Copyright © 1997 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caao-88.