Document Type

Article

Language

eng

Format of Original

17 p.

Publication Date

2005

Publisher

University of Houston

Source Publication

Houston Journal of Mathematics

Source ISSN

0362-1588

Abstract

A continuous surjection between compacta is called co-existential if it is the second of two maps whose composition is a standard ultracopower projection. A continuum is called co-existentially closed if it is only a co-existential image of other continua. This notion is not only an exact dual of Abraham Robinson's existentially closed structures in model theory, it also parallels the definition of other classes of continua defined by what kinds of continuous images they can be. In this paper we continue our study of co-existentially closed continua, especially how they (and related continua) behave in certain mapping situations.

Comments

Published version. Houston Journal of Mathematics, Vol. 31, No. 4 (2005): 1047-1063. Permalink. © University of Houston 2005. Used with permission.

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