# Club-guessing and non-structure of trees

Fundamenta Mathematicae (2001)

- Volume: 168, Issue: 3, page 237-249
- ISSN: 0016-2736

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topTapani Hyttinen. "Club-guessing and non-structure of trees." Fundamenta Mathematicae 168.3 (2001): 237-249. <http://eudml.org/doc/282578>.

@article{TapaniHyttinen2001,

abstract = {We study the possibilities of constructing, in ZFC without any additional assumptions, strongly equivalent non-isomorphic trees of regular power. For example, we show that there are non-isomorphic trees of power ω₂ and of height ω · ω such that for all α < ω₁· ω · ω, E has a winning strategy in the Ehrenfeucht-Fraïssé game of length α. The main tool is the notion of a club-guessing sequence.},

author = {Tapani Hyttinen},

journal = {Fundamenta Mathematicae},

keywords = {trees; non-structure; club-guessing sequence},

language = {eng},

number = {3},

pages = {237-249},

title = {Club-guessing and non-structure of trees},

url = {http://eudml.org/doc/282578},

volume = {168},

year = {2001},

}

TY - JOUR

AU - Tapani Hyttinen

TI - Club-guessing and non-structure of trees

JO - Fundamenta Mathematicae

PY - 2001

VL - 168

IS - 3

SP - 237

EP - 249

AB - We study the possibilities of constructing, in ZFC without any additional assumptions, strongly equivalent non-isomorphic trees of regular power. For example, we show that there are non-isomorphic trees of power ω₂ and of height ω · ω such that for all α < ω₁· ω · ω, E has a winning strategy in the Ehrenfeucht-Fraïssé game of length α. The main tool is the notion of a club-guessing sequence.

LA - eng

KW - trees; non-structure; club-guessing sequence

UR - http://eudml.org/doc/282578

ER -

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