| 书目名称 | Simplicial Methods for Higher Categories | | 副标题 | Segal-type Models of | | 编辑 | Simona Paoli | | 视频video | | | 概述 | Postulates a model of weak n-categories using structures (called n-fold categories) with strictly associative compositions.Encompasses intuitive introductions to new concepts, which would otherwise re | | 丛书名称 | Algebra and Applications | | 图书封面 |  | | 描述 | .This monograph presents a new model of mathematical structures called weak .n.-categories. These structures find their motivation in a wide range of fields, from algebraic topology to mathematical physics, algebraic geometry and mathematical logic..While strict .n.-categories are easily defined in terms associative and unital composition operations they are of limited use in applications, which often call for weakened variants of these laws. The author proposes a new approach to this weakening, whose generality arises not from a weakening of such laws but from the very geometric structure of its cells; a geometry dubbed weak globularity. The new model, called weakly globular .n.-fold categories, is one of the simplest known algebraic structures yielding a model of weak .n.-categories. The central result is the equivalence of this model to one of the existing models, due to Tamsamani and further studied by Simpson. This theory has intended applications to homotopy theory, mathematical physics and to long-standing open questions in category theory...As the theory is described in elementary terms and the book is largely self-contained, it is accessible to beginning graduate students | | 出版日期 | Book 2019 | | 关键词 | Models of weak $n$-categories; Multi-simplicial techniques; Weakly globular $n$-fold categories; Homoto | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-05674-2 | | isbn_ebook | 978-3-030-05674-2Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 19:23:04
