Abstract
A continuous ultraproduct is the model for a language constructed as follows: it is the set of all “continuous” maps in the product of a “continuous family” of discrete models for the language over a zero-dimensional space X, modulo an ultrafilter U in the Boolean algebra of all clopen subsets of X. The Main Theorem is a proper extension of the classic Fundamental Theorem of Ultraproducts.
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© 1997 Springer Science+Business Media Dordrecht
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Alling, N.L. (1997). Continuous Ultraproducts. In: Holland, W.C., Martinez, J. (eds) Ordered Algebraic Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5640-0_3
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DOI: https://doi.org/10.1007/978-94-011-5640-0_3
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