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Related lectures (29)
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Cartesian Product in Linear Algebra
Explores the Cartesian product in linear algebra and the method of induction for proving propositions.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Counting Basics: Set Theory and Permutations
Covers the main rules of counting for combinatorial objects and introduces various counting techniques.
Regularity Lemmas and Density Theorems
Explores Regularity Lemmas and Density Theorems for graph partitioning and structure identification.
Determinantal Point Processes and Extrapolation
Covers determinantal point processes, sine-process, and their extrapolation in different spaces.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
The Role of Symmetries
Delves into symmetries in physics, covering group theory, perturbation, and quantification.
Local Homeomorphisms and Coverings
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
