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On the Topology of Ultrametric Spaces
by
Ulrich Heckmanns
Ultrametric spaces are defined similar to non-Archimedean metric spaces, except that the set of values is an arbitrary partially ordered set with a least element. If the set of non-zero values is downward directed we can define a canonical topology on the ultrametric space, which is zero-dimensional and T2.
The perhaps most interesting examples are provided by the ideal topology of integral domains.
We discuss this topology and give non-normal and (non-trivial) normal examples.
Date received: June 24, 1996
Copyright © 1996 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 Mathematical Conference Abstracts. Document # caah-34.