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arXiv · 1205.4177

Groups and rings definable in d-minimal structures

Antongiulio Fornasiero
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Abstract

We study groups and rings definable in d-minimal expansions of ordered fields. We generalize to such objects some known results from o-minimality. In particular, we prove that we can endow a definable group with a definable topology making it a topological group, and that a definable ring of dimension at least 1 and without zero divisors is a skew field.

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Antongiulio Fornasiero. 2012-05-18. Groups and rings definable in d-minimal structures. https://arxiv.org/abs/1205.4177

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