Definition of a Topological Space
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From playlist Topology
This video is about topological spaces and some of their basic properties.
From playlist Basics: Topology
This video is about metric spaces and some of their basic properties.
From playlist Basics: 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
This video is about compactness 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
Introduction to Metric Spaces - Definition of a Metric. - The metric on R - The Euclidean Metric on R^n - A metric on the set of all bounded functions - The discrete metric
From playlist Topology
Robert Ghrist, Lecture 2: Topology Applied II
27th Workshop in Geometric Topology, Colorado College, June 11, 2010
From playlist Robert Ghrist: 27th Workshop in Geometric Topology
Topological Spaces: The Subspace Topology
Today, we discuss the subspace topology, which is a useful tool to construct new topologies.
From playlist Topology & Manifolds
Henry Adams and Enrique Alvarado: An introduction to Morse theory
We give an introduction to Morse theory. Given a space equipped with a real-valued function, one can use Morse theory to produce a compact cellular model for that space. Furthermore, the cellular model reflects important properties of the function. We describe CW cell complexes, the Morse
From playlist Tutorials
Eli Grigsby (11/13/19): On the topological expressiveness of neural networks
Title: On the topological expressiveness of neural networks Abstract: One can regard a (trained) feedforward neural network as a particular type of function f from R^n to R, where R^n is a (typically high-dimensional) Euclidean space parameterizing some data set, and the value f(x) of the
From playlist AATRN 2019
10/18/18 Konstantin Mischaikow
A Combinatorial/Algebraic Topological Approach to Nonlinear Dynamics
From playlist Fall 2018 Symbolic-Numeric Computing
Loop products, closed geodesics and self-intersections - Nancy Hingston
Workshop on Geometric Functionals: Analysis and Applications Topic: Loop products, closed geodesics and self-intersections Speaker: Nancy Hingston Affiliation: The College of New Jersey Date: March 6, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Teach Astronomy - Topology of the Universe
http://www.teachastronomy.com/ Astronomers sometimes talk about the topology of the universe which is a mathematical description of the three dimensional structure in terms of mathematical shapes. Using this formalism astronomers are of course simplifying something that's actually very co
From playlist 20. Galaxy Interaction and Motion
F. Coda Marques - Morse theory and the volume spectrum
In this talk I will survey recent developments on the existence theory of closed minimal hypersurfaces in Riemannian manifolds, including a Morse-theoretic existence result for the generic case.
From playlist 70 ans des Annales de l'institut Fourier
Quantum Summit - Panel Discussion
How soon will we have quantum computers? In what ways will they transform our lives? Listen in as some of the top experts from tech companies working on quantum computing weigh in. Panel moderator: Jennifer Ouellette (Senior Science Editor, Gizmodo.com) Panelists (left to right): Ray Beau
From playlist One Entangled Evening - 1/26/2016
Flexibility in symplectic and contact geometry – Emmy Murphy – ICM2018
Geometry | Topology Invited Lecture 5.6 | 6.2 Flexibility in symplectic and contact geometry Emmy Murphy Abstract: Symplectic and contact structures are geometric structures on manifolds, with relationships to algebraic geometry, geometric topology, and mathematical physics. We discuss a
From playlist Geometry
Floer homotopy theory by Mohammed Abouzaid
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem - Karen Uhlenbeck
Members' Seminar Topic: The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem Speaker: Karen Uhlenbeck Affiliation: The University of Texas at Austin; Distinguished Visiting Professor, School of Mathematics Date: April 6, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs