✦ LIBER ✦

A note on the compactness theorem

✍ Scribed by R. R. Rockingham Gill

Publisher: John Wiley and Sons
Year: 1975
Tongue: English
Weight: 115 KB
Volume: 21
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19750210149

No coin nor oath required. For personal study only.

✦ Synopsis

Z t i b r h r . /. math. h p i k und G'rutdlagtn d . . M a . l i d . ZI, s. 3 7 7 -378 (1975) A NOTE Oh' THE COMPACTNESS THEOREM by R. R. ROCKINGHAM GILL in Lampeter, Wales (Great Britain)

3. In conclusion, let us remark that, if wc read " a filtcbr" for " a n ultrafilter" and "HORN sentence" for "sentence" in the weak version of tog' theorem, the resultant 378 R. R. ROCKINOHAM GILL proposition is still true. Further, an argument precisely like that of 6 2, except that it makes no appeal to the BooLIcan prime ideal theorem, establishes classiCaUy that a set of Horn sentences h a a model if its every finite &set does.

📜 SIMILAR VOLUMES

A Note on the Compactness Theorem in Fir

A Note on the Compactness Theorem in First Order Logic

✍ George Weaver 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB 👁 1 views

A Proof of the Compactness Theorem

✍ Kenneth J. Danhof 📂 Article 📅 1974 🏛 John Wiley and Sons 🌐 English ⚖ 261 KB 👁 1 views

A note on the first incompleteness theor

A note on the first incompleteness theorem

✍ Katsumasa Ishii 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 71 KB 👁 1 views

## Abstract Let __T__ be an extension of Robinson's arithmetic Q. Then __T__ is incomplete even if the set of the Gödel numbers of all axioms of __T__ is ∑~2~.

A Note on the Carleson-Hunt Theorem

✍ M. Trinidad Menárguez 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 342 KB 👁 1 views

## Abstract We present a characterization of the almost everywhere convergence of the partial Fourier series of functions in __L__^p^(T), 1 < p < ∞, in terms of a discrete weak‐type inequality.

A Note on a-Weyl's Theorem

✍ Young Min Han; Slaviša V. Djordjević 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 120 KB

If T or T \* is log-hyponormal then for every f g H T , Weyl's theorem holds Ž . Ž Ž .. for f T , where H T denotes the set of all analytic functions on an open Ž . neighborhood of T . Moreover, if T \* is p-hyponormal or log-hyponormal or Ž Ž .. Ž . M-hyponormal then for every f g H T , a-Weyl's t

Note on the Colored Tverberg Theorem

✍ Jiřı&#x0301; Matoušek 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 305 KB

Theorem 1. For any integers r, d>1 there exists an integer T=T(d, r), such that given sets A 1 , ..., A d+1 /R d in general position, consisting of T points each, one can find disjoint (d+1)-point sets S 1 , ..., S r such that each S i contains exactly one point of each A j , j=1, 2, ..., d+1, and t