2019/06/08 by Dezhao Zhang, Zhang, Dezhao
Engineering · #Advanced Numerical Analysis Techniques
paper · pdf · doi:10.48550/arxiv.1906.03386
We firstly introduce some key concepts in category theory, such as quotient category, completion of limits, Mor 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.