Open Access
July, 2012 Locally o-minimal structures
Tomohiro KAWAKAMI, Kota TAKEUCHI, Hiroshi TANAKA, Akito TSUBOI
J. Math. Soc. Japan 64(3): 783-797 (July, 2012). DOI: 10.2969/jmsj/06430783

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, +, <).

Citation

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Tomohiro KAWAKAMI. Kota TAKEUCHI. Hiroshi TANAKA. Akito TSUBOI. "Locally o-minimal structures." J. Math. Soc. Japan 64 (3) 783 - 797, July, 2012. https://doi.org/10.2969/jmsj/06430783

Information

Published: July, 2012
First available in Project Euclid: 24 July 2012

zbMATH: 1259.03051
MathSciNet: MR2965427
Digital Object Identifier: 10.2969/jmsj/06430783

Subjects:
Primary: 03C64

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

Rights: Copyright © 2012 Mathematical Society of Japan

Vol.64 • No. 3 • July, 2012
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