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Author: Jussi Ketonen
Publisher:
ISBN:
Category : Combinatorial set theory
Languages : en
Pages : 130
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Author: Jussi Ketonen
Publisher:
ISBN:
Category : Combinatorial set theory
Languages : en
Pages : 130
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Book Description
Author: W.W. Comfort
Publisher: Springer Science & Business Media
ISBN: 364265780X
Category : Mathematics
Languages : en
Pages : 494
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Book Description
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 its connection with two-valued logic and model theory; from the second (convergence) property arises its connection with topology and set theory. Both these descriptions of an ultrafilter are connected with compactness. The model-theoretic property finds its expression in the construction of the ultraproduct and the compactness type of theorem of Los (implying the compactness theorem of first-order logic); and the convergence property leads to the process of completion by the adjunction of an ideal element for every ultrafilter-i. e. , to the Stone-Cech com pactification process (implying the Tychonoff theorem on the compact ness of products). Since these are two ways of describing the same mathematical object, it is reasonable to expect that a study of ultrafilters from these points of view will yield results and methods which can be fruitfully crossbred. This unifying aspect is indeed what we have attempted to emphasize in the present work.
Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080954863
Category : Computers
Languages : en
Pages : 365
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Book Description
Set Theory
Author: Leon Henkin
Publisher: American Mathematical Soc.
ISBN: 0821814257
Category : Mathematics
Languages : en
Pages : 522
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Author: United States. Environmental Protection Agency
Publisher:
ISBN:
Category : Environmental protection
Languages : en
Pages : 832
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Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 604
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Book Description
Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages : 648
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Includes entries for maps and atlases.
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1128
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Author: Xerox University Microfilms
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1090
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Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages : 648
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