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
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
This video is about compactness and some of its basic properties.
From playlist Basics: Topology
Angle Properties - Circle Geometry (Angle in a semicircle)
More resources available at www.misterwootube.com
From playlist Circle Geometry
What is a Manifold? Lesson 5: Compactness, Connectedness, and Topological Properties
The last lesson covering the topological prep-work required before we begin the discussion of manifolds. Topics covered: compactness, connectedness, and the relationship between homeomorphisms and topological properties.
From playlist What is a Manifold?
This video is about metric spaces and some of their basic properties.
From playlist Basics: Topology
Manifolds 1.4 : Topological Properties
In this video, I introduce the fact that manifolds have a countable basis of precompact coordinate balls, are locally compact, are locally path connected, and are paracompact. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet Playlist : https://w
From playlist Manifolds
Properties of Real Numbers: Mixed Review
This video explains and provides examples of the properties of real numbers. http://mathispower4u.com
From playlist Sets of Numbers/Properties of Real Numbers
Sanjay Mishra: Preservation of Properties during Topological Equivalence of Function Space
Sanjay Mishra, Lovely Professional University Title: Preservation of Properties during Topological Equivalence of Function Space The study of convergence of sequence of functions is the most important and active area of research in theoretical mathematics that solve several problems of app
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Fixed points in digital topology
A talk given by Chris Staecker at King Mongkut's University of Technology Thonburi, Bangkok, Thailand, on October 11 2019. This is the second in a series of 3 talks given at KMUTT. Includes an introduction to graph-theoretical ("Rosenfeld style") digital topology, and some basic results a
From playlist Research & conference talks
An Introduction to Topological Spaces [Lori Ziegelmeier]
This tutorial provides an introduction to topological spaces, including a brief overview of some of the central mathematicians to define a topology. The primary focus is on the set of the real line with various notions of topologies defined on this set. This tutorial was contributed as pa
From playlist Tutorial-a-thon 2021 Spring
Lie Groups and Lie Algebras: Lesson 36 - Review of continuity and homeomorphisms
Lie Groups and Lie Algebras: Lesson 36 - Review of continuity and homeomorphisms This is a review lesson regarding the topological definition of continuity, homeomorphism, and topological properties. This is important because the Fundamental group of a topological space is a topological
From playlist Lie Groups and Lie Algebras
What is a Manifold? Lesson 4: Countability and Continuity
In this lesson we review the idea of first and second countability. Also, we study the topological definition of a continuous function and then define a homeomorphism.
From playlist What is a Manifold?
Elba Garcia-Failde: Introduction to topological recursion - Lecture 3
Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this mini-course I will introduce the universal procedure of topological recursion, both by treating examples and by presenting the general formalism. We wi
From playlist Noncommutative geometry meets topological recursion 2021
Morgan Rogers - Toposes of Topological Monoid Actions
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RogersSlidesToposesOnline.pdf We explain the properties of the familiar properties of continuous actions of groups o
From playlist Toposes online
Four theorems about the Euler characteristic and some space invaders
A talk about Euler characteristics and digital topology meant for a general quantitatively literate audience- hopefully understandable to anybody who can handle basic mathematical ideas. I gave this talk at the weekly colloquium for the Fairfield University summer research groups, includin
From playlist Research & conference talks
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 14: Quotient Spaces
I AM GOING TO REDO THIS VIDEO. I have made some annotations here and annotations are not visible on mobile devices. STAY TUNED. This is a long lesson about an important topological concept: quotient spaces.
From playlist What is a Manifold?