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Preprint Number 287

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287. Tomohiro Kawakami, Kota Takeuchi, Hiroshi Tanaka and Akito Tsuboi
Locally o-minimal structures
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Submission date: 12 January 2011.

Abstract:

In this paper we study (strongly) locally o-minimal structures. We first give a characterization of the strong local o-minimality. We also investigate locally o-minimal expansions of (R, +, <).

Mathematics Subject Classification: 03C64

Keywords and phrases: local o-minimality, cell decomposition, simple products

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