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
The elements of a set can be ordered by a relation. Some relation cause proper ordering and some, partial ordering. Have a look at some examples.
From playlist Abstract algebra
Topology (What is a Topology?)
What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b
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
Definition of a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space
From playlist Topology
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
Definition of the Order of an Element in a Group and Multiple Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of the Order of an Element in a Group and Multiple Examples
From playlist Abstract Algebra
Order and Size of a Graph | Graph Theory
What is the order and size of a graph? We'll go over them both in this math lesson! A graph is an ordered pair with a vertex set and an edge set. The order of a graph is the cardinality of its vertex set, which is the number of vertices in the graph. The size of a graph is the cardinality
From playlist Graph Theory
15 Properties of partially ordered sets
When a relation induces a partial ordering of a set, that set has certain properties with respect to the reflexive, (anti)-symmetric, and transitive properties.
From playlist Abstract algebra
Topological Sort | Kahn's Algorithm | Graph Theory
Source code repository: https://github.com/williamfiset/algorithms#graph-theory Video slides: https://github.com/williamfiset/algorithms/tree/master/slides Website: http://www.williamfiset.com Audio intro/outro composed by Richard Saney (rnsaney@gmail.com) 0:00 Intro 0:22 Topological s
From playlist Graph Theory Playlist
Ulysses Alvarez - The Up Topology on the Grassmann Poset
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Ulysses Alvarez, Binghamton University Title: The Up Topology on the Grassmann Poset Abstract: For a discrete poset X, McCord proved that there exists a weak homotopy equivalence from the order complex |X| to where X has
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Flux periodicity crossover in higher order topological superconductors by Sumathi Rao
DISCUSSION MEETING : EDGE DYNAMICS IN TOPOLOGICAL PHASES ORGANIZERS : Subhro Bhattacharjee, Yuval Gefen, Ganpathy Murthy and Sumathi Rao DATE & TIME : 10 June 2019 to 14 June 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore Topological phases of matter have been at the forefront of r
From playlist Edge dynamics in topological phases 2019
Topological Sort Algorithm | Graph Theory
How to find the topological sort of a directed acyclic graph Shortest path on a Directed Acyclic Graph (DAG): https://www.youtube.com/watch?v=TXkDpqjDMHA Github source code link: https://github.com/williamfiset/algorithms#graph-theory 0:00 Intro 0:18 Topological sort real life examples
From playlist Graph Theory Playlist
David Aasen - Topological Defect Networks for Fracton Models - IPAM at UCLA
Recorded 30 August 2021. David Aasen of Microsoft Station Q presents "Topological Defect Networks for Fracton Models" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/graduate-summer-school
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Introduction to Homotopy Theory- PART 1: UNIVERSAL CONSTRUCTIONS
The goal of this series is to develop homotopy theory from a categorical perspective, alongside the theory of model categories. We do this with the hope of eventually developing stable homotopy theory, a personal goal a passion of mine. I'm going to follow nLab's notes, but I hope to add t
From playlist Introduction to Homotopy Theory
Topology 1.7 : More Examples of Topologies
In this video, I introduce important examples of topologies I didn't get the chance to get to. This includes The discrete and trivial topologies, subspace topology, the lower-bound and K topologies on the reals, the dictionary order, and the line with two origins. I also introduce (again)
From playlist Topology
Geometrical Structure and the Direction of Time
Franke Program in Science and the Humanities Geometrical Structure and the Direction of Time Professors David Albert and Tim Maudlin visited Yale to give lectures and participate in discussion for an event titled "Mechanical Explanations and the Direction of Time." Tim Maudlin is Professor
From playlist Franke Program in Science and the Humanities
The Generalized Neighborhood Base Construction
The generalized neighborhood base construction of a topology is a tool for creating topological spaces some of which end up being important counterexamples in the study of general topological spaces. The construction takes its inspiration from the ability to form a base for topology from a
From playlist The CHALKboard 2022
Fractionalized Topological Insurators - G. Fiete - 2/24/2015
Introduction by Olexei Motrunich. Learn more about the Inaugural Celebration and Symposium of the Walter Burke Institute for Theoretical Physics: https://burkeinstitute.caltech.edu/workshops/Inaugural_Symposium Produced in association with Caltech Academic Media Technologies. ©2015 Calif
From playlist Walter Burke Institute for Theoretical Physics - Dedication and Inaugural Symposium - Feb. 23-24, 2015
Order of Elements in a Group | Abstract Algebra
We introduce the order of group elements in this Abstract Algebra lessons. We'll see the definition of the order of an element in a group, several examples of finding the order of an element in a group, and we will introduce two basic but important results concerning distinct powers of ele
From playlist Abstract Algebra