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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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Injective Ultrametric Spaces
by
Ulrich Heckmanns
Universität München

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). With a suitable notion of morphisms we get a reasonable characterization of injective ultrametric spaces (with respect to embeddings), which is similar to the one in [1]. Moreover, every ultrametric space has a uniquely determined injective hull (by a slight modification of this term). This talk will not be directly concerned with topology.

[1]
E. M. Jawhari, D. Misane and M. Pouzet, Retracts: graphs and ordered sets from the metric point of view, in: Combinatorics and ordered sets, 175-226, Contemp. Math., 57 (1986).

Date received: April 12, 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 Conferences Inc. Document # caae-33.