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University of Houston
Houston Journal of Mathematics
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.
Bankston, Paul, "Mapping Properties of Co-existentially Closed Continua" (2005). Mathematics, Statistics and Computer Science Faculty Research and Publications. 140.
Published version. Houston Journal of Mathematics, Vol. 31, No. 4 (2005): 1047-1063. Permalink. © 2005 University of Houston. Used with permission.