Some Ideas on Categories and Sheaves

Dezhao Zhang

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arXiv · 1906.03386

Some Ideas on Categories and Sheaves

Dezhao Zhang

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Abstract

We firstly introduce some key concepts in category theory, such as quotient category, completion of limits, $\mathrm{Mor}$ 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.

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Dezhao Zhang. 2019-06-08. Some Ideas on Categories and Sheaves. https://arxiv.org/abs/1906.03386

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