Lectures related to Additive category

Cohomology: Recollection and Foliations

Covers cohomology, injective resolutions, and acyclic objects in an abelian category.

Categories and Functors

Explores building categories from graphs and the encoding of information by functors.

Infinity category theory: Equivalences and Adjunctions

Explores equivalences, adjunctions, and simplicial enrichment in infinity category theory.

Quasicategories: An Alternative Homotopy Theory

Introduces quasicategories as an alternative approach to defining homotopy maps and categories.

Adjunction between Simplicial Sets and Enriched Categories

Covers the adjunction between simplicial sets and simplicially enriched categories, including preservation of inclusions and construction of homotopy categories.

Introduction to Model Categories

Explores lifting properties and model categories in topological spaces.