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 (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
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
Algebraic topology: Calculating the fundamental group
This lecture is part of an online course on algebraic topology. We calculate the fundamental group of several spaces, such as a ficure 8, or the complement of a circle in R^3, or the group GL3(R). For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EF
From playlist Algebraic topology
Algebraic topology: Fundamental group of a knot
This lecture is part of an online course on algebraic topology. We calculate the fundamental group of (the complement of) a knot, and give a couple of examples. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52yxQGxQoxwOtjIEtxE2BWx
From playlist Algebraic topology
Algebraic topology: Fundamental group
This lecture is part of an online course on algebraic topology. We define the fundamental group, calculate it for some easy examples (vector spaces and spheres), and give a couple of applications (R^2 is not homeomorphic to R^3, the Brouwer fixedpoint theorem). For the other lectures in
From playlist Algebraic topology
This video is about connectedness and some of its basic properties.
From playlist Basics: Topology
Algebraic topology: Introduction
This lecture is part of an online course on algebraic topology. This is an introductory lecture, where we give a quick overview of some of the invariants of algebraic topology (homotopy groups, homology groups, K theory, and cobordism). The book "algebraic topology" by Allen Hatcher men
From playlist Algebraic topology
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
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?
Symmetry indicators of topological superconductors by Haruki Watanabe
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
A TQFT Perspective on Fracton Order
IAS High Energy Theory Seminar Topic: A TQFT Perspective on Fracton Order Speaker: Abhinav Prem Affiliation: Institute for Advanced Study Date: September 23, 2022 Fracton phases of matter exhibit striking behaviour which seemingly renders them beyond the standard topological quantum fiel
From playlist IAS High Energy Theory Seminar
PiTP 2015 - "Fermion Path Integrals and Topological Phases" - Edward Witten
https://pitp2015.ias.edu/
From playlist 2015 Prospects in Theoretical Physics Program
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
Xie Chen - Symmetry Protected Topological Phases - IPAM at UCLA
Recorded 02 September 2021. Xie Chen of the California Institute of Technology presents "Symmetry Protected Topological Phases" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Abstract: This talk will give a brief introduction to symmetry protected topologica
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Hermann Schulz-Baldes: Invariants of disordered topological insulators
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
Corey Jones: "Anomalous symmetries of C*-algebras"
Actions of Tensor Categories on C*-algebras 2021 "Anomalous symmetries of C*-algebras" Corey Jones - North Carolina State University Abstract: A fusion category is called pointed if every simple object is invertible under the monoidal product. These are described by finite groups togethe
From playlist Actions of Tensor Categories on C*-algebras 2021
AlgTopReview: An informal introduction to abstract algebra
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is
From playlist Algebraic Topology