论文标题
通过示例(删节版本)的薄纸理论
Sheaf Theory through Examples (Abridged Version)
论文作者
论文摘要
从应用类别理论的角度来看,这本书通过捆绑理论提供了诱人的巡回演出,并且比典型的牵头介绍了束缚。这本书通过广泛的具体示例和明确的结构来激励和发展理论,使读者的读者尽可能容易,包括对图形N色,卫星数据,国际象棋问题,贝叶斯网,贝斯网,音乐表演,音乐,复合物等的应用。其中包括一个扩展的第一章,介绍和激励所有必要的类别理论背景,再次强调了具体的例子。 MIT Press将提供一个新的和未遗迹的版本(包括有关更高级主题和结论的第五章)。
This book provides an inviting tour through sheaf theory, from the perspective of applied category theory and pitched at a less specialized audience than is typical with introductions to sheaves. The book makes it as easy as possible for the reader new to sheaves, by motivating and developing the theory via a broad range of concrete examples and explicit constructions, including applications to n-colorings of graphs, satellite data, chess problems, Bayes nets, musical performance, complexes, and more. Included is an extended first chapter introducing and motivating all the necessary category-theoretical background, again with a strong emphasis on concrete examples. A new and unabridged version (including a fifth chapter on more advanced topics and a conclusion) will be available with MIT Press.