Some Equivalent Results with Yakubovich's S -Lemma
✍ Scribed by Zi-zong, Yan; Jin-hai, Guo
- Book ID
- 118205788
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2010
- Tongue
- English
- Weight
- 150 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0363-0129
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
By RCA0, we denote the system of second-order arithmetic based on recursive comprehension axioms and 0 1 induction. WKL0 is deÿned to be RCA0 plus weak K onig's lemma: every inÿnite tree of sequences of 0's and 1's has an inÿnite path. In this paper, we ÿrst show that for any countable model M of RC
ABHYANKAR'S Lemma provides a siniple method of producing unramified extensions of number fields. By application of the lemma we simultaneously simplify and strengthen some recent results of ISHIDA concerning unramified abelian extensions and class numbers. $ 1 . The main object of this note is to s