Lectures related to Equivalence class

Introduces posets, Hasse diagrams, and equivalence relations on sets.

Covers transition systems, behavior equivalence, and system refinement for system modeling and verification.

Infinity category theory: Equivalences and Adjunctions

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

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Cartesian Products and Equivalence Relations

Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, and bijective functions.

Arithmetic Fundamentals: Equivalence and Irreducibility

Covers the fundamental theorem of arithmetic, focusing on equivalence and irreducibility of integers.

Quotient by a Relation

Covers the concept of quotient space by a relation and its applications.

Recollements: Building New Spaces by Gluing Together

Introduces recollements, showing how to build new spaces by assembling and gluing them together.