Duality theories | Category theory | Functional analysis

Envelope (category theory)

In Category theory and related fields of mathematics, an envelope is a construction that generalizes the operations of "exterior completion", like completion of a locally convex space, or Stone–Čech compactification of a topological space. A dual construction is called refinement. (Wikipedia).

Envelope (category theory)
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Category Theory 1.2: What is a category?

What is a Category?

From playlist Category Theory

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Category Theory 2.1: Functions, epimorphisms

Functions, epimorphisms

From playlist Category Theory

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Category Theory 4.1: Terminal and initial objects

Terminal and initial objects

From playlist Category Theory

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Category Theory: The Beginner’s Introduction (Lesson 1 Video 2)

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. Follow me on Twitter: @mjmcodr

From playlist Category Theory: The Beginner’s Introduction

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Category Theory 1.2 : Examples of Categories and Clarification

In this video, I clarify some terminology, and show some very important examples of categories. This includes the category of groups, sets, topologic spaces, monoids, modules, and rings. I also discuss the relation between categories and individual groups, preorders, matrices, and ordinals

From playlist Category Theory

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Arthur Ogus - Prisms, prismatic neighborhoods, and p-de Rham cohomology

Correction: The affiliation of Lei Fu is Tsinghua University. Prismatic cohomology, as proposed by B. Bhatt and P. Scholze, provides a uniform framework for many of the cohomoogy theories involved in p-adic Hodge theory. I will focus on the crystalline incarnation of prismatic cohomology

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

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Category Theory 3.1: Examples of categories, orders, monoids

Examples of categories, orders, monoids.

From playlist Category Theory

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Symmetries of hamiltonian actions of reductive groups - David Ben-Zvi

Explicit, Epsilon-Balanced Codes Close to the Gilbert-Varshamov Bound II - Amnon Ta-Shma Computer Science/Discrete Mathematics Seminar II Topic: Explicit, Epsilon-Balanced Codes Close to the Gilbert-Varshamov Bound II Speaker: Amnon Ta-Shma Affiliation: Tel Aviv University Date: January 3

From playlist Mathematics

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Stefaan Vaes: Cohomology and L2-Betti numbers for subfactors and quasi-regular inclusions

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Analysis and its Applications

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Michel Dubois-Violette: The Weil algebra of a Hopf algebra

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebra

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The center of the small quantum group - Pablo Boixeda Alvarez

Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: The center of the small quantum group Speaker: Pablo Boixeda Alvarez Affiliation: Member, School of Mathematics Date: November 17, 2020 For more video please visit http://video.ias.edu

From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory

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Ivan Todorov: Morita equivalence for operator systems

Talk in Global Noncommutative Geometry Seminar (Europe), 26 January 2022

From playlist Global Noncommutative Geometry Seminar (Europe)

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(Equivariant) Cohomology of the affine Grassmannian and Ginzburg’s picture - Linyuan Liu

Seminar on Geometric and Modular Representation Theory Topic: (Equivariant) Cohomology of the affine Grassmannian and Ginzburg’s picture Speaker: Linyuan Liu Affiliation: University of Sydney; Member, School of Mathematics Date: October 21, 2020 For more video please visit http://video.i

From playlist Mathematics

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Chelsea Walton, "An Invitation to Noncommutative Algebra," the 2021 NAM Claytor-Woodard Lecture

Chelsea Walton, Rice University, gives the NAM Claytor-Woodard Lecture on "An invitation to Noncommutative Algebra," on January 9, 2021 at the Joint Mathematics Meetings

From playlist Useful math

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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

Related pages

Compact space | Locally convex topological vector space | Locally compact abelian group | Lie group | Nodal decomposition | Topological space | Banach space | Complex geometry | Differential geometry | Stone–Čech compactification | Topology | Refinement (category theory) | Banach algebra | Fourier transform | Category theory