## Abstract Working in the context of restricted forms of the Axiom of Choice, we consider the problem of splitting the ordinals below __Ξ»__ of cofinality __ΞΈ__ into __Ξ»__ many stationary sets, where __ΞΈ__ < __Ξ»__ are regular cardinals. This is a continuation of [4] (Β© 2009 WILEYβVCH Verlag GmbH &
A Weak Form of Connected Sets
β Scribed by Takashi Noiri
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 304 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0025-584X
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## Abstract We study the degree of elimination of imaginaries needed for the three main applications: to have canonical bases for types over models, to define strong types as types over algebraically closed sets and to have a Galois correspondence between definably closed sets __B__ such that __A__
Generalizing a theorem of Moon and Moser. we determine the maximum number of maximal independent sets in a connected graph on n vertices for n sufficiently large, e.g., n > 50. = I .32. . .). Example 1.2. Let b, = i(C,), where C,z denotes the circuit of length n. Then b, = 3, 6, = 2, b, = 5, and b,
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