Initial 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 1.3 : 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 1.4 : Product Topology Introduction

In this video, I define the product topology, and introduce the general cartesian product. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Topology

Topology 1.5 : Order 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

Definition of a Topological Space

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space

From playlist Topology

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

What is a closed set ?

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

Orbit of a set in abstract algebra

In this video we start to take a look at the orbit-stabilizer theorem. Our first stop is the orbit of a set. The orbit is created by taking an arbitrary element of a set and acting on that element by all the elements in the set of an an arbitrary group. In this video, we look at a few p

From playlist Abstract algebra

Topological Spaces: Introduction & Axioms

The first video in a new series on topological spaces and manifolds.

From playlist Topology & Manifolds

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

Modern Inflation Cosmology -2018

More videos on http://video.ias.edu

From playlist Natural Sciences

Topological similarity of random cell complexes, and applications - Benjamin Schweinhart

Benjamin Schweinhart Princeton University December 10, 2014 Although random cell complexes occur throughout the physical sciences, there does not appear to be a standard way to quantify their statistical similarities and differences. I'll introduce the notions of a 'swatch' and a 'cloth',

From playlist Mathematics

Bárbara M. Gutiérrez (7/22/21): Effectual topological complexity

In this talk we will introduce the concept of Effectual Topological Complexity, which is a new version of the Topological Complexity (TC) for G-Spaces. We will state some of its main properties, for instance, we will explain the relation between this notion with the standard version of TC

From playlist Topological Complexity Seminar

Topological pumping: from the Quantized Hall Effect to circuit QED by David Carpentier

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

Emergent topology in quenched quantum systems by Amit Dutta

DATES Monday 20 Jun, 2016 - Wednesday 29 Jun, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore APPLY Understanding strongly interacting quantum many body systems is one of the major frontiers in present day physics. Condensed matter physics provides a wide panoply of systems where strong

From playlist School on Current Frontiers in Condensed Matter Research

Algebraic Topology - 6 - Introduction to Limits and Colimits

This is an introduction to limits and colimits. We explain what Cones and coCones are.

From playlist Category Theory Crash Course

Chad Topaz (11/1/17): Topological data analysis of collective motion

Nature abounds with examples of collective motion, including bird flocks, fish schools, and insect swarms. We use topological data analysis to characterize the global dynamics of the agent-based collective motion models of Vicsek et al. (1995) and D'Orsogna et al. (2006). Numerical positio

From playlist AATRN 2017

An Apple a Day Can Solve World Hunger (Chaos Theory: Butterfly Effect) #SoME2

Thanks to RJTheLammie and an anonymous maths teacher for helping with this project. They both contributed massively, so they deserve as much, if not more credit for this video. This was an absolute pain to create. 20 minutes of coded simulations, Manim animations, suffering, video editing

From playlist Summer of Math Exposition 2 videos

Kaggle Reading Group: Weight Agnostic Neural Networks (Part 2) | Kaggle

Today we're continuing with the paper "Weight Agnostic Neural Networks" by Gaier & Ha from NeurIPS 2019. Link to paper: https://arxiv.org/pdf/1906.04358.pdf SUBSCRIBE: https://www.youtube.com/c/kaggle?sub_... About Kaggle: Kaggle is the world's largest community of data scientists. Join

From playlist Kaggle Reading Group | Kaggle

Taste of topology: Open Sets

Here I give a taste of topology by defining the notion of an open set, give examples, and show its main properties. I further define the notion of an interior. Enjoy this little topology and analysis extravaganza. More videos can be found on my playlist below. Closed Sets: https://youtu.b

From playlist Topology