Lectures related to Eventual Consistency: NoSQL, CAP Theorem, and BASE

Limits and colimits in Top

Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.

Weak Derivatives: Definition and Properties

Covers weak derivatives, their properties, and applications in functional analysis.

Normed Spaces

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Graph Sketching: Connected Components

Covers the concept of graph sketching with a focus on connected components.

Virtualization: Principles and Applications

Explores virtualization principles, implementation, and high availability in cloud computing.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Proper Actions and Quotients

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.