Journal of Symbolic Logic 52 (2):404-424 (1987)

By analyzing how one obtains the Stone space of the reduced product of an indexed collection of Boolean algebras from the Stone spaces of those algebras, we derive a topological construction, the "reduced coproduct", which makes sense for indexed collections of arbitrary Tichonov spaces. When the filter in question is an ultrafilter, we show how the "ultracoproduct" can be obtained from the usual topological ultraproduct via a compactification process in the style of Wallman and Frink. We prove theorems dealing with the topological structure of reduced coproducts (especially ultracoproducts) and show in addition how one may use this construction to gain information about the category of compact Hausdorff spaces
Keywords Reduced Coproducts   compactifications   reduced products   compact Hausdorff spaces   categories
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DOI 10.2307/2274391
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References found in this work BETA

Model Theory.Michael Makkai, C. C. Chang & H. J. Keisler - 1991 - Journal of Symbolic Logic 56 (3):1096.
Elements of Mathematical Logic.C. C. Chang - 1969 - Journal of Symbolic Logic 34 (1):112-112.

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Citations of this work BETA

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An Invitation to Model Theory and C*-Algebras.Martino Lupini - 2019 - Bulletin of Symbolic Logic 25 (1):34-100.

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