论文标题

抽象均匀理论简介

Introduction to Abstract Homotopy Theory

论文作者

Martins, Yuri Ximenes

论文摘要

这是通过模型类别和$(\ infty,1)$ - 类别对抽象同质理论的研究介绍。唯一的先决条件是非常基本的一般拓扑结构和抽象代数。无需分类背景。最终的目标是表明,拓扑空间的古典同质理论可以从分类语言中更自然地理解。

This is an introduction to the study of abstract homotopy theory by means of model categories and $(\infty,1)$-categories. The only prerequisites are very basic general topology and abstract algebra. None categorical background is needed. The final objective is to show that classical homotopy theory for topological spaces can be more naturally understood in terms of categorical language.

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