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O-minimal structures

O-minimal structures
O-最小结构
批准号:
261961-2008
负责人:
Speissegger, Patrick
金额:
$1.75万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2010
资助国家:
加拿大
项目状态:
已结题
起止时间:
2010-01-01 至 2011-12-31
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中文摘要
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英文摘要
Mathematical logic has long played a role in delineating between what is formally possible and impossible. For example, Gödel's incompleteness theorem shows that no consistent formal system sophisticated enough to prove simple theorems in mathematics can demonstrate its own consistency. This type of result places a limit on the scope of what is formally knowable in mathematics. In recent years, model theorists have taken on a constructivist approach to the use of logic inside mathematics. Working below the "Gödel barrier'', they have formalized simple properties of structures that have desirable finiteness properties and which, at the same time, give rise to a rich collection of definable sets.
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O-minimal structures and dynamical systems
  • 批准号:
    RGPIN-2018-06555
  • 项目类别:
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  • 资助金额:
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  • 财政年份:
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O-minimal structures and dynamical systems
  • 批准号:
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  • 资助金额:
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O-minimal structures and dynamical systems
  • 批准号:
    RGPIN-2018-06555
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.46万
  • 财政年份:
    2020
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    Speissegger, Patrick
  • 依托单位:
O-minimal structures and dynamical systems
  • 批准号:
    RGPIN-2018-06555
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.46万
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国内基金
海外基金
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  • 批准号:
    60672101
  • 项目类别:
    面上项目
  • 资助金额:
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    20572032
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    2005
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