Group construction in non-trivial geometric $C$-minimal structures

Françoise Delon; Fares Maalouf

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arXiv · 1410.4045

Group construction in non-trivial geometric $C$-minimal structures

Françoise Delon·Fares Maalouf

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Abstract

We show that an infinite group is definable in any non trivial geometric $C$-minimal structure which is definably maximal and does not have any definable bijection between a bounded interval and an unbounded one in its canonical tree. No kind of linearity is assumed.

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BibTeX RIS

Françoise Delon, Fares Maalouf. 2014-10-15. Group construction in non-trivial geometric $C$-minimal structures. https://arxiv.org/abs/1410.4045

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