| Topology Atlas Document # taic-48 | Topology Atlas Invited Contributions vol. 8, no. 2 (2003) 32 pp. |
Department of Mathematics, Statistics and Computer Science
Marquette University
Milwaukee, WI
We survey various attempts to transport the ultraproduct construction from the realm of model theory to that of general topology. The category-theoretic perspective has played a key role in many of these attempts.
Mathematics Subject Classification: 03-02, 03C20, 54B10 (03C52, 03C64, 06D05, 54A25, 54B30, 54B35,
54C10, 54D05, 54D10, 54D15, 54D30, 54D35, 54E52, 54F15, 54F45, 54F50,
54F55, 54F65, 54G10)
Keywords: ultraproduct, ultracoproduct, topological space, compactum, continuum
This survey article was screened anonymously.
Date published: March 24, 2003.
Copyright © by the author. Distributed by Topology Atlas with permission of the author.