Concept
Discrete space
Related lectures (39)
Unique Solutions in Differential Equations
Explores unique solutions in differential equations, emphasizing the importance of satisfying key conditions for a single solution.
Interior and Closure in Topology
Covers the concepts of interior and closure of a set in a topological space, as well as isolated points and accumulation points.
Optimal Transport: Disintegration Theorem
Covers the Disintegration Theorem in the context of Optimal Transport.
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.
Lattices: Theory and Applications
Explores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.
Universal Covering
Explores the concept of a universal cover of a topological space and the necessary conditions for a space to have one.
Manifolds: Charts and Compatibility
Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.
Generation of Markov Processes
Covers the generation of Markov processes and Markov chains, including transition matrices and stochastic matrices.
Adjunctions and Push Outs
Covers adjunctions, push outs, colimits, and discrete fibers in coverings, emphasizing group actions and symmetries.
Sub-Varieties and Topological Concepts
Covers sub-varieties in different dimensions and topological concepts with examples and applications of theorems.