Everything You Wanted to Know about Ultrafilters, But Were Afraid to Ask
Author: Jussi Ketonen
Publisher:
Published: 1971
Total Pages: 130
ISBN-13:
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Author: Jussi Ketonen
Publisher:
Published: 1971
Total Pages: 130
ISBN-13:
DOWNLOAD EBOOKAuthor: W.W. Comfort
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 494
ISBN-13: 364265780X
DOWNLOAD EBOOKAn 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: Leon Henkin
Publisher: American Mathematical Soc.
Published: 1974
Total Pages: 522
ISBN-13: 0821814257
DOWNLOAD EBOOKAuthor: Lev D. Beklemishev
Publisher: Elsevier
Published: 2000-04-01
Total Pages: 365
ISBN-13: 0080954863
DOWNLOAD EBOOKSet Theory
Author: United States. Environmental Protection Agency
Publisher:
Published: 1995
Total Pages: 832
ISBN-13:
DOWNLOAD EBOOKAuthor: American Mathematical Society
Publisher:
Published: 1971
Total Pages: 604
ISBN-13:
DOWNLOAD EBOOKContains articles of significant interest to mathematicians, including reports on current mathematical research.
Author:
Publisher:
Published: 1973
Total Pages: 648
ISBN-13:
DOWNLOAD EBOOKIncludes entries for maps and atlases.
Author:
Publisher:
Published: 1973
Total Pages: 1128
ISBN-13:
DOWNLOAD EBOOKAuthor: Xerox University Microfilms
Publisher:
Published: 1973
Total Pages: 1090
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1973
Total Pages: 648
ISBN-13:
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