Category theory

Opposite category

In category theory, a branch of mathematics, the opposite category or dual category Cop of a given category C is formed by reversing the morphisms, i.e. interchanging the source and target of each morphism. Doing the reversal twice yields the original category, so the opposite of an opposite category is the original category itself. In symbols, . (Wikipedia).

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Category Theory 1.2: What is a category?

What is a Category?

From playlist Category Theory

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Are You Romantic or Classical?

The words 'Romantic' and 'Classical' usefully bring into focus important themes in our personalities. We're all both, but which are you a little more of? If you like our films take a look at our shop (we ship worldwide): http://www.theschooloflife.com/shop/all/ SUBSCRIBE to our channel for

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What is Reductionism?

There are two different types of reductionism. One is called methodological reductionism, the other one theory reductionism. Methodological reductionism is about the properties of the real world. It’s about taking things apart into smaller things and finding that the smaller things determ

From playlist Philosophy of Science

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Is There an Alternative to Political Correctness?

Political correctness aims for some very nice results, but its means have a habit of upsetting a lot of people. Might there be an alternative to it? We think there is, and it’s called Politeness. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/iVqWJ1 Joi

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Linear versus Nonlinear Differential Equations

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Linear versus Nonlinear Differential Equations

From playlist Differential Equations

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POP CULTURE: Better Celebrities

It’s easy to criticise modern societies for being ‘celebrity obsessed’. But the problem isn’t an interest in celebrity, it’s the sort of celebrities paraded before us. We don’t need no-celebrities, we need better-celebrities. Please subscribe here: http://tinyurl.com/o28mut7 If you like ou

From playlist POP CULTURE

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Category Theory: The Beginner’s Introduction (Lesson 1 Video 4)

Lesson 1 is concerned with defining the category of Abstract Sets and Arbitrary Mappings. We also define our first Limit and Co-Limit: The Terminal Object, and the Initial Object. Other topics discussed include Duality and the Opposite (or Mirror) Category. These videos will be discussed

From playlist Category Theory: The Beginner’s Introduction

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How Is the ADHD Brain Different?

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From playlist Seeker+

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Yinhuo Zhang: Braided autoequivalences, quantum commutative Galois objects and the Brauer groups

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From playlist Algebra

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Laurent Lafforgue - 4/4 Classifying toposes of geometric theories

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From playlist Toposes online

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Category Theory 1.3 : Properties and Types of Arrows

In this video, I introduce the opposite category, monics, epics, initial object, terminal objects, inverses, idempotent arrows, and more! Translate This Video : Notes : None yet Patreon : https://www.patreon.com/user?u=16481182 Teespring : https://teespring.com/stores/fematika Email : fem

From playlist Category Theory

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Ind and Pro Categories Associated to a Category

This is super basic. I ripped this off of ncatlab, one of the best websites on the planet.

From playlist Category Theory

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Presheaves and Sheaves in Category Theory | Wrap it Up!

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From playlist Category Theory

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Non-commutative motives - Maxim Kontsevich

Geometry and Arithmetic: 61st Birthday of Pierre Deligne Maxim Kontsevich Institute for Advanced Study October 20, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a fo

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Category Theory: The Beginner’s Introduction (Lesson 1 Video 5)

Lesson 1 is concerned with defining the category of Abstract Sets and Arbitrary Mappings. We also define our first Limit and Co-Limit: The Terminal Object, and the Initial Object. Other topics discussed include Duality and the Opposite (or Mirror) Category. These videos will be discussed

From playlist Category Theory: The Beginner’s Introduction

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Is It Better to Be Polite or Frank?

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From playlist RELATIONSHIPS

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Ideal (order theory) | Pontryagin duality | *-algebra | Stone space | Continuous function | Topological group | Dual object | Duality (mathematics) | Boolean algebra (structure) | Semigroup | Hausdorff space | Homomorphism | Filter (mathematics) | Unital map | Normal operator | Mathematics | Set (mathematics) | Equivalence of categories | Product category | Dual (category theory) | Measurable function | Category theory | Von Neumann algebra | Category (mathematics) | Ring theory | Morphism | Order theory | Functor | Compact space | Upper set | Functor category | Comma category | Abelian group | Monoid | Commutative ring