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Applications of Set Theory to Topology and Topology to Model Theory

Applications of Set Theory to Topology and Topology to Model Theory
集合论在拓扑中的应用以及拓扑在模型论中的应用
批准号:
RGPIN-2016-06319
负责人:
Tall, Franklin
金额:
$1.31万
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:
2017
资助国家:
加拿大
项目状态:
已结题
起止时间:
2017-01-01 至 2018-12-31

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中文摘要
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英文摘要
This research applies one field of mathematics (Set Theory) to another (Topology), as well as the second to a third (Model Theory). Set Theory is the study of the fundamental building blocks (sets) of the mathematical universe; Topology is the study of abstractions of geometric properties of space; Model Theory is the study of languages and how languages relate to the structures they describe. By definition, Pure Mathematics, such as these fields, does not concern itself with real-world applications. Nonetheless, time after time, such basic research has led to important technological advances, such as the development of the computer, which were not foreseen by the early pioneers in such research. Therefore, wise governments fund basic research.
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Applications of Set Theory to Topology and Topology to Model Theory
  • 批准号:
    RGPIN-2016-06319
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.31万
  • 财政年份:
    2021
  • 负责人:
    Tall, Franklin
  • 依托单位:
Applications of Set Theory to Topology and Topology to Model Theory
  • 批准号:
    RGPIN-2016-06319
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.31万
  • 财政年份:
    2019
  • 负责人:
    Tall, Franklin
  • 依托单位:
Applications of Set Theory to Topology and Topology to Model Theory
  • 批准号:
    RGPIN-2016-06319
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.31万
  • 财政年份:
    2018
  • 负责人:
    Tall, Franklin
  • 依托单位:
Applications of Set Theory to Topology and Topology to Model Theory
  • 批准号:
    RGPIN-2016-06319
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.31万
  • 财政年份:
    2016
  • 负责人:
    Tall, Franklin
  • 依托单位:
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