Document Type
Article
Language
eng
Publication Date
6-1987
Publisher
Association for Symbolic Logic
Source Publication
Journal of Symbolic Logic
Source ISSN
0022-4812
Original Item ID
10.2307/2274391
Abstract
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.
Recommended Citation
Bankston, Paul, "Reduced Coproducts of Compact Hausdorff Spaces" (1987). Mathematics, Statistics and Computer Science Faculty Research and Publications. 132.
https://epublications.marquette.edu/mscs_fac/132
Comments
Published version. The Journal of Symbolic Logic, Vol. 52, No. 2 (June 1987): 404-424. DOI. © 1984 The Association for Symbolic Logic. Used with permission.