Some Ideas on Categories and Sheaves
Category Theory
2019-06-11 v1
Abstract
We firstly introduce some key concepts in category theory, such as quotient category, completion of limits, category, and so on; then give the concept of topology algebras and sheaves, and discuss how to restore the structue of sheaves from their stalks; lastly, we introduce the sheaf-theoretical expression for topological spaces, and rediscribe some essential items in topology and geometry by defining a kind of generally existing category sheaves.
Cite
@article{arxiv.1906.03386,
title = {Some Ideas on Categories and Sheaves},
author = {Dezhao Zhang},
journal= {arXiv preprint arXiv:1906.03386},
year = {2019}
}