Atlas home || Conferences | Abstracts | about Atlas

Svalbard Geometric Topology Conference
August 10-14, 2001
Radisson SAS Polar Hotel Spitzbergen
Longyearbyen, Svalbard, Norway

Organizers
Dusan Repovs, Stephen Watson

View Abstracts
Conference Homepage

Rim-finite, arc-free spaces
by
John Kulesza
George Mason University
Coauthors: Jat Schweig

Rim-finite spaces are those which have bases whose boundaries are finite sets. Examples of rim-finite spaces are Mazurkeiwicz sets and their various generalizations to n-point sets both in the plane and in Rn.

We investigate rim-finite subspaces of euclidean space which do not contain arcs, and solve some open problems of Bouhjar, Dijkstra and van Mill and also of Loveland and Loveland. We also give a method to construct rim-n and arc-free examples which are not zero-dimensional.

Date received: July 7, 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 # cagy-14.