Homological algebra

Acyclic object

In mathematics, in the field of homological algebra, given an abelian category having enough injectives and an additive (covariant) functor , an acyclic object with respect to , or simply an -acyclic object, is an object in such that for all , where are the right derived functors of . (Wikipedia).

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The Cycloid - The Helen of Geometry

This video defines, shows how a cycloid is formed, and explains 4 interesting properties of a cycloid. http://mathispower4u.com

From playlist Mathematics General Interest

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Momentum (1 of 16) An Explanation

This video gives a complete explanation of momentum. It also includes an example momentum problem. Momentum is a quantity of matter arising from its mass and velocity. The momentum of an object is directly proportional to its mass and velocity. Momentum is a vector quantity. Impulse is th

From playlist Momentum, Impulse, Inelastic and Elastic Collisions

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Cycloid

#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)

From playlist Miscellaneous

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Recursively Defined Sets - An Intro

Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g

From playlist All Things Recursive - with Math and CS Perspective

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23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra

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Queue Data Structure – Algorithms

This is an explanation of the dynamic data structure known as a queue. It compares a linear queue implemented by means of a dynamic array with a linear queue implemented with a static array. It also includes an explanation of how a circular queue works, along with pseudocode for the enqu

From playlist Data Structures

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Dimensions (1 of 3: The Traditional Definition - Directions)

More resources available at www.misterwootube.com

From playlist Exploring Mathematics: Fractals

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Stable Homotopy Seminar, 4: Model categories (Ivo Vekemans)

This talk by Ivo Vekemans is a thorough introduction to model categories, presenting: weak factorization systems; the definition of model category and major examples (simplicial sets, topological spaces, and chain complexes); notions of homotopy in a model category, and the homotopy catego

From playlist Stable Homotopy Seminar

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ITHT: Part 12- Model Structure on Topological Spaces

Credits: nLab: https://ncatlab.org/nlab/show/Introduction+to+Homotopy+Theory#TheClassicalModelStructureOfTopologicalSpaces Animation library: https://github.com/3b1b/manim​​​​​​​​​​ My own code/modified library: https://github.com/treemcgee42/youtub...

From playlist Introduction to Homotopy Theory

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ITHT: Part 9- The Homotopy Category

Credits: nLab: https://ncatlab.org/nlab/show/Introduction+to+Homotopy+Theory#TheHomotopyCategory Animation library: https://github.com/3b1b/manim​​​​​​​ My own code/modified library: https://github.com/treemcgee42/youtube​​​ Music: ► Artist Attribution • Music By: "KaizanBlu" • Track Nam

From playlist Introduction to Homotopy Theory

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ITHT: Part 10- Derived Functors

Credits: nLab: https://ncatlab.org/nlab/show/Introduction+to+Homotopy+Theory#DerivedFunctors Animation library: https://github.com/3b1b/manim​​​​​​​​ My own code/modified library: https://github.com/treemcgee42/youtub...​ Music: ► Artist Attribution • Music By: "KaizanBlu" • Track Name:

From playlist Introduction to Homotopy Theory

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From playlist Properties of Rectangles

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What's a Directed Acyclic Graph (DAG)?

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From playlist Programming

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ITHT: Part 11- Quillen Adjunctions

Credits: nLab: https://ncatlab.org/nlab/show/Introduction+to+Homotopy+Theory#QuillenAdjunctions Animation library: https://github.com/3b1b/manim​​​​​​​​​ My own code/modified library: https://github.com/treemcgee42/youtub...​ Music: ► Artist Attribution • Music By: "KaizanBlu" • Track Na

From playlist Introduction to Homotopy Theory

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Introduction to Homotopy Theory: Part 8- Homotopy in Model Categories

Credits: nLab: https://ncatlab.org/nlab/show/Introduction+to+Homotopy+Theory#homotopy_2 Animation library: https://github.com/3b1b/manim​​​​​​ My own code/modified library: https://github.com/treemcgee42/youtube​​ Music: ► Artist Attribution • Music By: "KaizanBlu" • Track Name: "Remembe

From playlist Introduction to Homotopy Theory

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👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are

From playlist Properties of Rectangles

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Stable Homotopy Seminar, 7: Constructing Model Categories

A stroll through the recognition theorem for cofibrantly generated model categories, using it to construct (1) the Quillen/Serre model structure on topological spaces and (2) the levelwise model structure on spectra. The latter captures the idea that spectra are sequences of spaces, but no

From playlist Stable Homotopy Seminar

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Stable Homotopy Seminar, 8: The Stable Model Category of Spectra

We discuss the enrichment of spectra over spaces, and the compatibility of this enrichment with the model structure. Then we define the stable model structure by adding extra cofibrations to the levelwise model category of spectra, and restricting the weak equivalences to those maps which

From playlist Stable Homotopy Seminar

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Equivalence Relations Definition and Examples

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.

From playlist Abstract Algebra

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Introduction to Homotopy Theory: Part 7- Small Object, Retract Arguments

Credits: nLab: https://ncatlab.org/nlab/show/Introdu...​ Animation library: https://github.com/3b1b/manim​​​​​ My own code/modified library: https://github.com/treemcgee42/youtube​ Music: ► Artist Attribution • Music By: "KaizanBlu" • Track Name: "Remember (Extended Mix)" • YouTube Track

From playlist Introduction to Homotopy Theory

Related pages

Functor | Abelian category | Mathematics | Homological algebra | Derived functor