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
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 connectedness and some of its basic properties.
From playlist Basics: 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
The shape of data: Ulrike Tillmann, FRS, University of Oxford
Ulrike Tillmann (Turing Fellow and University of Oxford, UK) Prof. Ulrike Tillmann FRS has been at the University of Oxford since 1992. She is an algebraic topologist, known in particular for her work on Riemann surfaces and the homology of their moduli spaces. She has long standing rese
From playlist Women in data science conference
Lecture 21: HP Model & Interlocked Chains
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture presents the hydrophobicity (HP) model for protein folding and optimization using parity cases. Interlocked 3D chains
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Algebraic Topology - 11.1 - Homotopy - Examples of Equivalence
Homotopy Equivalence Examples.
From playlist Algebraic 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
Topology 1.3 : Basis for a Topology
In this video, I define what a basis for a topology is. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Intro to the Fundamental Group // Algebraic Topology with @TomRocksMaths
In this video I teach the amazing @TomRocksMaths a little bit of algebraic topology, specifically the fundamental group. Tom also taught me some really cool fluid dynamics and you can find our collab over at his channel here: ►►► https://www.youtube.com/watch?v=bpeCfwY4qa0&ab_channel=TomR
From playlist Collaborations
Topology - The Classification of Surfaces: Oxford Mathematics 2nd Year Student Lecture
In this lecture from our 2nd Year Topology course, Andre Henriques proves the classification theorem for compact 2-dimensional manifold (a.k.a. surfaces). Every compact connected surface is one of the following: the two-dimensional sphere, a torus with n holes, or a connect sum of n copies
From playlist Oxford Mathematics Student Lectures - Topology
Topology: Interior, Exterior and Boundary
This video is about the interior, exterior, and boundary of sets.
From playlist Basics: Topology
Ahlfors-Bers 2014 "Roots of Polynomials and Parameter Spaces"
Sarah Koch (University of Michigan): In his last paper, "Entropy in Dimension One," W. Thurston completely characterized which algebraic integers arise as exp(entropy(f)), where f is a postcritically finite real map of a closed interval. On page 1 of this paper, there is a spectacular ima
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
Algebraic Topology - 5.3 - Mapping Spaces and the Compact Open Topology
Description of the adjunction (X \times -, Top(X,-))
From playlist Algebraic Topology
From playlist Dimensions Deutsch
Topology 1.6 : Metric Topology
In this video, I introduce the metric topology, and introduce how the topologies it generates align with the standard topologies on Euclidean space. Email : fematikaqna@gmail.com Subreddit : https://www.reddit.com/r/fematika Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
A Summary of Some of our Results on Non-Hermitian Quantum Mechanics.... by Franco Nori
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
Oxford Mathematics Public Lectures : Roger Penrose - Eschermatics Roger Penrose's relationship with the artist M.C. Escher was not just one of mutual admiration. Roger's thinking was consistently influenced by Escher, from the famous Penrose tiling to his groundbreaking work in cosmology.
From playlist The Roger Penrose Playlist
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
The 2016 Nobel Prizes: Chemistry and Physics!
This Nobel Prize season, dive into the world of the super small for physics and chemistry. It's where the nanocars roam and phase transitions get really weird. Learn more about this year's nobel prizes: https://www.youtube.com/watch?v=_takaZB1-vg Learn more about semiconductors: https://
From playlist Uploads