Locally o-minimal structures

Tomohiro Kawakami; Kota Takeuchi; Hiroshi Tanaka; Akito Tsuboi

doi:10.2969/jmsj/06430783

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Locally o-minimal structures

Tomohiro Kawakami, Kota Takeuchi, Hiroshi Tanaka, Akito Tsuboi

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

JOURNAL FREE ACCESS

2012 Volume 64 Issue 3 Pages 783-797

DOI https://doi.org/10.2969/jmsj/06430783

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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, +, <).

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