Locally class-presentable and class-accessible categories
Boris Chorny, Jiri Rosicky
TL;DR
This paper extends the theory of locally presentable and accessible categories to include broader classes like small presheaves and ind-categories, facilitating applications in abstract homotopy theory.
Contribution
It introduces a generalized framework for locally presentable and accessible categories, encompassing new examples relevant to homotopy theory.
Findings
Unified framework for generalized categories
Includes small presheaves and ind-categories
Enhances tools for abstract homotopy applications
Abstract
We generalize the concepts of locally presentable and accessible categories. Our framework includes such categories as small presheaves over large categories and ind-categories. This generalization is intended for applications in the abstract homotopy theory.
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