Some notes on higher category theory, along with some early notes from various elementary textbooks. Please be advised that the majority of notes and documents presented here are unpolished, and in particular, not error-free.
- Colimits and Kan extensions
- Euler chararacteristic
- Simplicial sets
- The fundamental groupoid
- Mapping spaces in higher category theory
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The Thomason model structure on
𝕒 𝕥 -
A comprehensive study of
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Joins in
𝕒 𝕥 𝕠 𝕡 -
Properties of
- Enrichment in category theory
- Monoidal categories
- An outline for studying higher category theory
- Notes from Goldblatt's Topoi book
- Morphisms of schemes
- Properties of schemes
- Schemes II
- Schemes I
- Sheaves
- Algebraic Geometry: Homework
- Notes from Hartshorne
- Abelian Categories
- Category Theory: Homework
- Adjunctions
- Universal Arrows, Yoneda Lemma, Limits
- Natural Transforms, Products, Free Categories
- Modules of fractions, Primary decomposition
- Commutative Algebra: Homework
- Rings: Homework
- Rings and Algebras
- Linear Algebra
- Ideals, Modules, Tensor products
- Cellular Homology
- General Topology
- Fundamental Group, Singular Homology, Excision