Directed graphs | Graph algorithms | Sorting algorithms
In the field of computer science, a pre-topological order or pre-topological ordering of a directed graph is a linear ordering of its vertices such that if there is a directed path from vertex u to vertex v and v comes before u in the ordering, then there is also a directed path from vertex v to vertex u. If the graph is a directed acyclic graph (DAG), topological orderings are pre-topological orderings and vice versa. In other cases, any pre-topological ordering gives a partial order. (Wikipedia).
Definition of a Topological Space
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From playlist Topology
Orders on Sets: Part 1 - Partial Orders
This was recorded as supplemental material for Math 115AH at UCLA in the spring quarter of 2020. In this video, I discuss the concept and definition of a partial order.
From playlist Orders on Sets
Prealgebra Lecture 2.5 Part 7: Order of Operations with Integers
From playlist Prealgebra Playlist 1
In this video, I introduce the order topology and prove that it is Hausdorff. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
This video is about topological spaces and some of their basic properties.
From playlist Basics: Topology
http://www.tabletclass.com explains the order of operations
From playlist Pre-Algebra
From playlist Contributed talks One World Symposium 2020
Topological Spaces: Introduction & Axioms
The first video in a new series on topological spaces and manifolds.
From playlist Topology & Manifolds
Prealgebra 1.4g - Ordering Numbers
Ordering numbers, and visualizing this order on a number line. Some very simple but extremely important ideas. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Jens Hemelaer - Toposes of presheaves on monoids as generalized topological spaces
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/HemelaerSlidesToposesOnline.pdf Various ideas from topology have been generalized to toposes, for example surjection
From playlist Toposes online
Lecture 12: Classifying topoi (Part 1)
This is the first of several talks on the subject of classifying topoi. I began with a brief reminder of the overall picture from the first talk, i.e. what are classifying topoi and why do we care (from the point of view of organising mathematics). Then I spent some time talking about tens
From playlist Topos theory seminar
What is a Manifold? Lesson 12: Fiber Bundles - Formal Description
This is a long lesson, but it is not full of rigorous proofs, it is just a formal definition. Please let me know where the exposition is unclear. I din't quite get through the idea of the structure group of a fiber bundle fully, but I introduced it. The examples in the next lesson will h
From playlist What is a Manifold?
Topological spaces for directed graphs [Henri Riihimäki]
Directed graphs serve as a model for various phenomena in the sciences, for example networks of neurons in the brain or gene regulatory networks. To apply TDA tools we need to construct higher dimensional topological spaces out of directed graphs. In this tutorial we will learn about two s
From playlist Tutorial-a-thon 2021 Fall
Manifolds - Part 5 - Projective Space
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From playlist Manifolds
Automorphism groups and Ramsey properties of sparse graphs - D. Evans - Workshop 1 - CEB T1 2018
David Evans (Imperial) / 30.01.2018 An infinite graph is sparse if there is a positive integer k such that for every finite subgraph, the number of edges is bounded above by k times the number of vertices. Such graphs arise in model theory via Hrushovskis predimension constructions. In jo
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Becca Winarski: Characterizing Thurston maps by lifting trees
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audi
From playlist Topology
Manifolds - Part 5 - Projective Space [dark version]
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From playlist Manifolds [dark version]
Manifolds - Part 4 - Quotient Spaces
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From playlist Manifolds
Caterina Consani: The Arithmetic Site I
The lecture was held within the framework of the Hausdorff Trimester Program: Non-commutative Geometry and its Applications and the Workshop: Number theory and non-commutative geometry 25.11.2014
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Prealgebra Lecture 2.5: Studying Order of Operations with Integers
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 2.5: Studying Order of Operations with Integers
From playlist Prealgebra (Full Length Videos)