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Spring Topology and Dynamical Systems Conference
March 15-17, 2001
Centro de Convenciones
Morelia City, Michoacán, Mexico

Organizers
Alejandro Illanes, Sergio Macías, Jesus Muciño, María Luisa Pérez

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Homogeneous weak solenoids
by
Lex G. Oversteegen
UAB
Coauthors: R. Fokkink (TU Delft)

A weak solenoid is an inverse limit of closed n-manifolds with covering maps as bonding maps. A solenoid is a weak solenoid with regular covering maps as bonding maps. It is known (McCord, 1965) that all solenoids are homogeneous and that non-homogeneous weak solenoids exist (Schori, 1966). We will show that every homogeneous weak solenoid is homeomorphic to a solenoid. This answers a question of Schori.

Date received: February 8, 2001

Copyright © 2001 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 # cagh-53.