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Preprint Number 2080
2080. Masato Fujita and Tomohiro Kawakami and Wataru Komine Tameness of definably complete locally o-minimal structures and
definable bounded multiplication E-mail: , and Submission date: 29 October 2021 Abstract:
We first show that the projection image of a discrete definable set is again discrete for an arbitrary definably complete locally o-minimal structure.
Using this fact, in the latter part of this paper, we investigate definably complete locally o-minimal expansions of ordered groups when the restriction of multiplication to an arbitrary bounded open box is definable.
Mathematics Subject Classification: 03C64 Keywords and phrases: locally o-minimal structures; definable bounded multiplication |

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