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The Theory of Ultrafilters
Comfort, W. W.; Negrepontis, S.
€ 162.69
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Description for The Theory of Ultrafilters
Paperback. Series: Grundlehren der Mathematischen Wissenschaften. Num Pages: 494 pages, biography. BIC Classification: PB. Category: (P) Professional & Vocational. Dimension: 229 x 152 x 25. Weight in Grams: 726.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
494
Condition
New
Series
Grundlehren der Mathematischen Wissenschaften
Number of Pages
484
Place of Publication
Berlin, Germany
ISBN
9783642657825
SKU
V9783642657825
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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