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
In this video, I cover the notion of continuity, as used in topology. The beautiful thing is that this doesn't use epsilon-delta at all, and instead just something purely geometric. Enjoy this topology-adventure! Topology Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmA13vj9xkHGG
From playlist Topology
Every Subset of the Discrete Topology has No Limit Points Proof
Every Subset of the Discrete Topology has No Limit Points Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Topology
In this video, I define connectedness, which is a very important concept in topology and math in general. Essentially, it means that your space only consists of one piece, whereas disconnected spaces have two or more pieces. I also define the related notion of path-connectedness. Topology
From playlist Topology
Every Mapping into The Trivial Topology is Continuous
In this video I prove that every mapping into the trivial topology is continuous. I hope this video helps someone out there who is trying to learn topology. If you enjoyed this video please consider subscribing to my channel or becoming a member of my channel. Thank you:)
From playlist Topology
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
Kevin Buzzard (lecture 7/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
Alexander Hock: From noncommutative quantum field theory to blobbed topological recursion
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Scalar quantum field theory on noncommutative Moyal space can be approximated by matrix models with non-trivial covariance. One example is the Kontsevich model, which
From playlist Noncommutative geometry meets topological recursion 2021
Quantum Topological Data Analysis (Part 1) [Péguy Kem-Meka]
Quantum Topological Data Analysis is about how quantum computers and quantum information processors can learn pattern in data that cannot be learn by classical TDA algorithms. Quantum computers are becoming available to general public. They can dramatically reduce both execution time and e
From playlist Tutorials
Patrick Massot - Formal mathematics for mathematicians and mathematics students - IPAM at UCLA
Recorded 15 February 2023. Patrick Massot of the Université Paris-Saclay presents "Formal mathematics for mathematicians and mathematics students" at IPAM's Machine Assisted Proofs Workshop. Abstract: I will explain how I think formal mathematics will eventually become a useful tool for ma
From playlist 2023 Machine Assisted Proofs Workshop
Interaction-induced charge transfer in a mesoscopic electron spectrometer by Stefan Fischer
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
This lecture is part of an online course on category theory. We define functors and give some examples of them. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj51F9XZ_Ka4bLnQoxTdMx0AL
From playlist Categories for the idle mathematician
Topological Spaces: The Subspace Topology
Today, we discuss the subspace topology, which is a useful tool to construct new topologies.
From playlist Topology & Manifolds
Topology vs "a" Topology | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What exactly is a topological space? Learn through active problem-solving at Brilliant: https://brilliant.org/InfiniteSeries/ Tweet at us! @pbsinfinite Facebook: face
From playlist An Infinite Playlist
This video is about connectedness and some of its basic properties.
From playlist Basics: Topology
Exploring state-space topology in the geosciences - Sciamarella - Workshop 1 - CEB T3 2019
Sciamarella (CNRS) / 11.10.2019 Exploring state-space topology in the geosciences ************************************* Langue : Anglais ; Date : 11.10.2019; Conférencier : Sciamarella, Denisse; Évenement : Workshop 1 - CEB T3 2019; Lieu : IHP; Mots Clés :
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Felipe Voloch: Maps between curves and diophantine obstructions
Abstract: Given two algebraic curves X, Y over a finite field we might want to know if there is a rational map from Y to X. This has been looked at from a number of perspectives and we will look at it from the point of view of diophantine geometry by viewing the set of maps as X(K) where K
From playlist Algebraic and Complex Geometry
Topology 1.1 : Open Sets of Reals
In this video, I give a definition of the open sets on the real numbers. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Story telling (in mathematics and music) - Will Troiani
Will explores the relationship between music and mathematics. He suggests that narratives behind the foundations are part of the foundations themselves, and use the example of topology to demonstrate this. Chess is also used to illustrate how learning the basic rules and concepts can lead
From playlist Anything At All seminar