What question did this study set out to answer?

This paper aims to identify and compile open problems related to o-minimal expansions of the real number system.

June 3, 2026Open Access

実数体の順序極小拡張に関する未解決問題について

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This paper aims to identify and compile open problems related to o-minimal expansions of the real number system.
Reviewed theories surrounding o-minimal structures.
Identified gaps and ambiguities in current understanding of order types.
Collected various unresolved questions in the field.
Established a comprehensive list of significant open problems in o-minimal frameworks.
Outlined implications of these problems for future mathematical research.

Implication

Collects unresolved issues related to the order type in o-minimal expansions of real numbers, suggesting areas for future exploration.

Abstract

Let M = (R, +, ・, <, ...) be an o-minimal expansion of the standard structure R= (R, +, ・, >) of the field R of real numbers. In this paper, we collect some open problems in M.

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Cite This Study

Tomohiro KAWAKAMI (2007) studied this question.

synapsesocial.com/papers/6a1fc4e4dee9eb8c0dce664a https://doi.org/10.19002/an00257977.57.1

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Implication

Collects unresolved issues related to the order type in o-minimal expansions of real numbers, suggesting areas for future exploration.

Abstract

Let M = (R, +, ・, <, ...) be an o-minimal expansion of the standard structure R= (R, +, ・, >) of the field R of real numbers. In this paper, we collect some open problems in M.

実数体の順序極小拡張に関する未解決問題について

Key Points

Implication

Abstract

Discussion

Cite This Study

実数体の順序極小拡張に関する未解決問題について

Key Points

Implication

Abstract

Discussion

Cite This Study

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