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ExVR Workshop: Introduction and Showcase
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Related lectures (44)
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Relations in Computer Science
Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Adjunctions: Constructing Desired Adjoints
Explores constructing desired adjoints in specific categories like Set.
Nonlinear Dynamics: Chaos and Complex Systems
Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Determinantal Point Processes and Extrapolation
Covers determinantal point processes, sine-process, and their extrapolation in different spaces.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
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.
Display Screen: Microcontrollers Basics
Covers the basics of displaying information on a screen using microcontrollers and utilizing the serial monitor for various purposes.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Lifting properties and model categories
Covers the study of lifting properties in categories, focusing on the left and right lifting properties.
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
The Nerve and Geometric Realization
Delves into the computation and geometric realization of small categories, exploring the relationship between nerves and geometric structures.
Examples, Chapter 1(b): Adjunctions
Presents concrete examples of adjunctions between Set and Top categories.
Active Learning Session: Group Theory
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Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.
Equilibrium in 3D: System Isolation and Constraints
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Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.
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