Document Type

Conference Proceeding

Language

eng

Publication Date

12-1997

Publisher

American Mathematical Society

Source Publication

Proceedings of the American Mathematical Society

Source ISSN

0002-9939

Original Item ID

DOI: 10.1090/S0002-9939-97-04088-4

Abstract

By a generalized arc we mean a continuum with exactly two non-separating points; an arc is a metrizable generalized arc. It is well known that any two arcs are homeomorphic (to the real closed unit interval); we show that any two generalized arcs are co-elementarily equivalent, and that co-elementary images of generalized arcs are generalized arcs. We also show that if f : X -> Y is a function between compacta and if X is an arc, then f is a co-elementary map if and only if Y is an arc and f is a monotone continuous surjection.

Comments

Published version. Proceedings of the American Mathematical Society, Vol. 125, No. 12 (December 1997): 3715-3720. DOI. © 1997 The American Mathematical Society. Used with permission.

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