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 ...
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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 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.
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Add this copy of The Theory of Ultrafilters to cart. $140.50, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2011 by Springer.
Add this copy of The Theory of Ultrafilters (Grundlehren Der to cart. $170.78, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2011 by Springer.
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Add this copy of The Theory of Ultrafilters (English) to cart. $131.51, very good condition, Sold by True Oak Books rated 5.0 out of 5 stars, ships from Highland, NY, UNITED STATES, published 1974 by Springer-Verlag.
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Very Good in Very Good dust jacket. Grundlehren Der Mathematischen Wissenschaften Series, Vol 211; 482 pages; Minor crease to FFEP. Rubbing (shelf wear) to DJ, minor. Very Good condition otherwise. No other noteworthy defects. No markings.; -Your satisfaction is our priority. We offer free returns and respond promptly to all inquiries. Your item will be carefully cushioned in bubble wrap and securely boxed. All orders ship on the same or next business day. Buy with confidence.
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Good. Hardcover, with text in English; surplus library copy with the usual stampi ngs; reference number taped to dust jacket spine; fading and shelf wear to exterior; binding reinforced; in good condition with clean text. Dust jacke t, fading and shelf wear to exterior, protected by a Mylar cover.
Add this copy of The Theory of Ultrafilters (Grundlehren Der to cart. $202.27, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1974 by Springer-Verlag.
