Document Type
Article
Language
eng
Format of Original
12 p.
Publication Date
6-2000
Publisher
Springer
Source Publication
Applied Categorical Structures
Source ISSN
0927-2852
Original Item ID
doi: 10.1023/A:1008668011406
Abstract
The ultrapower theorem of Keisler and Shelah allows such model-theoretic notions as elementary equivalence, elementary embedding and existential embedding to be couched in the language of categories (limits, morphism diagrams). This in turn allows analogs of these (and related) notions to be transported into unusual settings, chiefly those of Banach spaces and of compacta. Our interest here is the enrichment of the theory of compacta, especially the theory of continua, brought about by the importation of model-theoretic ideas and techniques.
Recommended Citation
Bankston, Paul, "Some Applications of the Ultrapower Theorem to the Theory of Compacta" (2000). Mathematics, Statistics and Computer Science Faculty Research and Publications. 139.
https://epublications.marquette.edu/mscs_fac/139
Comments
Accepted version. Applied Categorical Structures, Vol. 8, No. 1/2 (June 2000): 45-66. DOI. © 2000 Springer. Used with permission.
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