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Almost free groups and Ehrenfeucht–Fraı̈ssé games for successors of singular cardinals

✍ Scribed by Saharon Shelah; Pauli Väisänen


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
264 KB
Volume
118
Category
Article
ISSN
0168-0072

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Almost free groups and long Ehrenfeucht–
✍ Pauli Väisänen 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 357 KB

An Abelian group G is strongly -free i G is L ∞; -equivalent to a free Abelian group i the isomorphism player has a winning strategy in an Ehrenfeucht-Fra ssà e game of length ! between G and a free Abelian group. We study possible longer Ehrenfeucht-Fra ssà e games between a nonfree group and a fre