Locally o-minimal structures

Tomohiro Kawakami; Kota Takeuchi; Hiroshi Tanaka; Akito Tsuboi

doi:10.2969/jmsj/06430783

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Locally o-minimal structures

Tomohiro Kawakami Kota Takeuchi Hiroshi Tanaka Akito Tsuboi

Year: 2012 Journal: Journal of the Mathematical Society of Japan Vol: 64 (3) Publisher: Mathematical Society of Japan

DOI: 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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Advanced Topology and Set Theory

Physical Sciences → Mathematics → Geometry and Topology

Fuzzy and Soft Set Theory

Social Sciences → Decision Sciences → Management Science and Operations Research

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Locally o-minimal structures

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