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
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
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
Powered by https://www.numerise.com/ Midpoint of a line segment
From playlist Linear sequences & straight lines
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
What are parallel lines and a transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
constructing parallel lines (rhombus method) - geometry
In this video I show how to construct parallel lines with the rhombus method. The specific question covered involves constructing a line parallel to given line through a given point. This technique is a quick, efficient way to construct parallel lines. I prefer this technique over the oth
From playlist Geometry
What are the Angle Relationships for Parallel Lines and a Transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Determining the Shortest Distance Between a Line and a Point
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From playlist Properties of Perpendicular Lines
WHEN SPACE DOES NOT HAVE DISTANCE: What is the Long Line in Math and Other Examples (Version 2.0)
In many ways metric spaces grant a large amount of structure to a topological space. So it's natural to ask what happens when space does not have distance defined on it. Can we still talk about things like size or even compare these types of spaces to other metrizable spaces? The answer is
From playlist The New CHALKboard
What is a Manifold? Lesson 1: Point Set Topology and Topological Spaces
This will begin a short diversion into the subject of manifolds. I will review some point set topology and then discuss topological manifolds. Then I will return to the "What is a Tensor" series. It has been well over a year since we began this project. We now have a Patreon Page: https
From playlist What is a Manifold?
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
Topological magnon Dirac points in a 3D antiferromagnet by Yuan Li
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
Quantum entanglement in macroscopic matter (Lecture 2)
T Senthil (Department of Physics, Massachusetts Institute of Technology) URL: https://www.icts.res.in/lecture/2/details/1642/ 14 Jan 2015, 05:00 PM Physics Auditorium, IISc campus, Bangalore Description: A powerful organizing principle to describe and distinguish phases of macroscopic m
From playlist Chandrasekhar Lectures
Topology PhD Qualifying Exam Problems (Stream 1)
Just practicing some arguments from topology qualifying exam problems. A few folks said they wanted me to hang out here instead of on Twitch today. 00:00:00 Dead Air 00:00:53 I exist huzzah! 00:09:26 Continuous Images of Metric Spaces in Hausdorff Spaces Problem 01:13:45 Separable First C
From playlist CHALK Streams
Metamaterials and Topological Mechanics (Lecture - 01) by Tom Lubensky
Infosys-ICTS Chandrasekhar Lectures Metamaterials and Topological Mechanics Speaker: Tom Lubensky (University of Pennsylvania, Pennsylvania) Date: 24 June 2019, 16:00 to 18:00 Venue: Ramanujan lecture hall, ICTS campus Lecture 1 : Metamaterials and Topological Mechanics Date & Time
From playlist Infosys-ICTS Chandrasekhar Lectures
Majorana end modes: topological invariants, Floquet theory and conductance
Discussion Meeting: Quantum entanglement in macroscopic matter URL: http://www.icts.res.in/discussion_meeting/QEM2015/ Dates: Monday 12 Jan, 2015 - Friday 16 Jan, 2015 Description: Condensed matter systems display a wide variety of interesting low temperature phases that are the product
From playlist Discussion Meeting: Quantum entanglement in macroscopic matter
Interactive visualization of 2-D persistence modules - Lesnick
Michael Lesnick Columbia University November 7, 2015 In topological data analysis, we often study data by associating to the data a filtered topological space, whose structure we can then examine using persistent homology. However, in many settings, a single filtered space is not a rich en
From playlist Mathematics
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
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