We present an analog of the well-known Kruskal-Katona theorem for the poset of subspaces of PG(n, 2) ordered by inclusion. For given k, (k < ) and m the problem is to find a family of size m in the set of -subspaces of PG(n, 2), containing the minimal number of k-subspaces. We introduce two lexicogr
A Łoś type theorem for linear metric formulas
✍ Scribed by Seyed-Mohammad Bagheri
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 223 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We define an ultraproduct of metric structures based on a maximal probability charge and prove a variant of Łoś theorem for linear metric formulas. We also consider iterated ultraproducts (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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