Coherence in Three-Dimensional Category Theory
Coherence in Three-Dimensional Category Theory
复制标题
三维范畴论中的连贯性
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
N. Gurski
中科院分区：
文献类型：
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作者：
N. Gurski
三维空间是高等范畴理论中重要的假设测试平台，在范畴领域中占有独特的地位。在问题的核心是相干定理，这本书提供了一个明确的处理，以及涵盖相关的结果。在此过程中，作者将这些材料视为灰色张量积，并给出了空间的基本3群样的构造。这本书作为一个全面的介绍，涵盖必要的材料，任何学生的连贯性和假设只有一个基本的理解更高的范畴理论。它也是该领域许多关键概念的参考点，因此对于希望在代数拓扑或理论计算机科学等领域应用更高类别或相干结果的研究人员来说，它是一个重要的资源。
Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the fundamental 3-groupoid of a space. The book serves as a comprehensive introduction, covering essential material for any student of coherence and assuming only a basic understanding of higher category theory. It is also a reference point for many key concepts in the field and therefore a vital resource for researchers wishing to apply higher categories or coherence results in fields such as algebraic topology or theoretical computer science.