Publications > Preprint server > Preprint Number 2080
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
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
|Last updated: November 1 2021 19:43||Please send your corrections to:|