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arXiv:2406.19409 (math)
[Submitted on 13 Jun 2024 ]

Title: A Very Short Introduction to Topos Theory (adapted from Prof. Pettigrew's notes)

Title: 范畴论的一个简短介绍(改编自Pettigrew教授的笔记)

Authors:Eric Schmid
Abstract: A quick overview of category theory and topos theory including slice categories, monics, epics, isos, diagrams, cones, cocones, limits, colimits, products and coproducts, pushouts and pullbacks, equalizers and coequalizers, initial and terminal objects, exponential objects, subobjects, subobject classifiers, the definition of a topos, algebras of subobjects, functors, natural transformations and adjoint functors. This paper is refashioned and adopted from Richard Pettigrew's university notes.
Abstract: 范畴论和到论的快速概述,包括切片范畴、单射、满射、同构、图示、锥体、余锥体、极限、余极限、乘积和余乘积、上积和下积、等化器和余等化器、初始对象和终端对象、指数对象、子对象、子对象分类器、到论的定义、子对象的代数、函子、自然变换和伴随函子。 本文改编自理查德·佩蒂格鲁的大学笔记。
Comments: 37 pages
Subjects: Category Theory (math.CT)
Cite as: arXiv:2406.19409 [math.CT]
  (or arXiv:2406.19409v1 [math.CT] for this version)
  https://doi.org/10.48550/arXiv.2406.19409
arXiv-issued DOI via DataCite

Submission history

From: Eric Schmid [view email]
[v1] Thu, 13 Jun 2024 20:57:04 UTC (11 KB)
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