Categories in category theory

Pointed category

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Geometry - Ch. 1: Basic Concepts (18 of 49) What are the Different Types of Angles?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the definition of an and show how to recognize an acute, right, obtuse, and straight angle. Next video in this series can be seen at: https://youtu.be/QAui1XjG05Y

From playlist THE "WHAT IS" PLAYLIST

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What is an acute triangle

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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What is the definition of a ray

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

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What are opposite rays

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

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What are opposite rays

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

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What are opposite Rays

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

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What is an obtuse triangle

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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What is a Ray and how do we label one

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

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What is a ray

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

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Higher Algebra 10: E_n-Algebras

In this video we introduce E_n-Algebras in arbitrary symmetric monoidal infinity-categories. These interpolate between associated algebras (= E_1) and commutative algebras (= E_infinity). We also establish some categorical properties and investigate the case of the symmetric monoidal infin

From playlist Higher Algebra

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Equivariantization and de-equivariantization - Shotaro Makisumi

Geometric and Modular Representation Theory Seminar Topic: Equivariantization and de-equivariantization Speaker: Shotaro Makisumi Affiliation: Columbia University; Member, School of Mathematics Date: February 10, 2021 For more video please visit http://video.ias.edu

From playlist Seminar on Geometric and Modular Representation Theory

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Partially wrapped Fukaya categories of symmetric products of marked disks, Gustavo Jasso

Partially wrapped Fukaya categories of symmetric products of marked surfaces were in- troduced by Auroux so as to give a symplecto-geometric intepretation of the bordered Heegaard-Floer homology of Lipshitz, Ozsv ́ath and Thurston. In this talk, I will explain the equivalence between the p

From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"

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Juliet Cooke: Skein categories

In this talk we will talk about skein categories which are a categorical analogue of skein algebras based on coloured ribbon tangles. We shall then see how these skein categories satisfy excision and therefore fit within the framework of factorisation homology as k-linear factorisation hom

From playlist Workshop: Monoidal and 2-categories in representation theory and categorification

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Kohei Tanaka (10/20/22): Sectional category for maps of finite spaces

We consider the sectional category of a map between finite T_0 spaces (posets) from a combinatorial viewpoint. We compute some examples of the sectional category (or number) for the McCord map, the weak homotopy equivalence on the barycentric subdivision, and the Fadell-Neuwirth fibration

From playlist Topological Complexity Seminar

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Paul-André Melliès - A Functorial Excursion between Algebraic Geometry and Linear Logic

In this talk, I will use the functor of points approach to Algebraic Geometry to establish that every covariant presheaf X on the category of commutative rings — and in particular every scheme X — comes equipped “above it” with a symmetric monoidal closed category PshModX of presheaves of

From playlist Combinatorics and Arithmetic for Physics: special days

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Clark Barwick - 1/3 Exodromy for ℓ-adic Sheaves

In joint work with Saul Glasman and Peter Haine, we proved that the derived ∞-category of constructible ℓ-adic sheaves ’is’ the ∞-category of continuous functors from an explicitly defined 1-category to the ∞-category of perfect complexes over ℚℓ. In this series of talks, I want to offer s

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Duality in Higher Categories-I by Pranav Pandit

PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics

From playlist Dualities in Topology and Algebra (Online)

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Winter School JTP: From Hall algebras to legendrian skein algebras, Fabian Haiden

A mysterious relation between Hall algebras of Fukaya categories of surfaces and skein algebras was suggested by recent work of Morton-Samuelson and Samuelson-Cooper. I will discuss how this relation can be made precise using knot theory of legendrian curves and general gluing properties o

From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"

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Winter School JTP: Perverse sheaves and schobers on Riemann surfaces, Tobias Dyckerhoff

Reporting on joint work in progress with M. Kapranov, V. Schechtman, and Y. Soibelman, I will explain how to describe the derived constructible category of a stratified Riemann surface as representations of the so-called paracyclic category of the surface. This allows for geometric depicti

From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"

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Naming the rays in a given figure

👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi

From playlist Labeling Point Lines and Planes From a Figure

Related pages

Initial and terminal objects