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Ultrafilters Throughout Mathematics
Language: en
Pages: 399
Authors: Isaac Goldbring
Categories: Mathematics
Type: BOOK - Published: 2022-06-13 - Publisher: American Mathematical Society

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Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically,
Ultrafilters across Mathematics
Language: en
Pages: 214
Authors: Vitaly Bergelson
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: American Mathematical Soc.

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Presents the state-of-the-art of applications in the whole spectrum of mathematics which are grounded on the use of ultrafilters and ultraproducts. It contains
The Theory of Ultrafilters
Language: en
Pages: 494
Authors: W.W. Comfort
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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An ultrafilter is a truth-value assignment to the family of subsets of a set, and a method of convergence to infinity. From the first (logical) property arises
Ultrafilters and Topologies on Groups
Language: en
Pages: 229
Authors: Yevhen G. Zelenyuk
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: Walter de Gruyter

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This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with
Model Theory of Operator Algebras
Language: en
Pages: 498
Authors: Isaac Goldbring
Categories: Mathematics
Type: BOOK - Published: 2023-07-24 - Publisher: Walter de Gruyter GmbH & Co KG

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Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric. Applicati