Geometric topology | 3-manifolds | Theorems in topology

Bing's recognition theorem

In topology, a branch of mathematics, Bing's recognition theorem, named for R. H. Bing, asserts that a necessary and sufficient condition for a 3-manifold M to be homeomorphic to the 3-sphere is that every Jordan curve in M be contained within a topological ball. (Wikipedia).

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Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem

In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

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Prove or Disprove if the Function is Injective

Prove or Disprove if the Function is Injective If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Functions, Sets, and Relations

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Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem

In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

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A Complete Dichotomy Rises from the Capture of Vanishing Signatures - Jin-Yi Cai

Jin-Yi Cai University of Wisconsin November 19, 2012 Holant Problems are a broad framework to describe counting problems. The framework generalizes counting Constraint Satisfaction Problems and partition functions of Graph Homomorphisms. We prove a complexity dichotomy theorem for Holant

From playlist Mathematics

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Second Isomorphism Theorem for Groups Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Second Isomorphism Theorem for Groups Proof. If G is a group and H and K are subgroups of G, and K is normal in G, we prove that H/(H n K) is isomorphic to HK/K.

From playlist Abstract Algebra

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(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

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How To Create Search Engine Web App | Session 01 | #programming

Don’t forget to subscribe! In this project series, we will learn to create a search engine web app by integrating the Bing API. You learn your way around .NET and its functionalities, by the of this project you will be able to create any type of web app. Happy Learning! Session 01: M

From playlist Create Search Engine Web App

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Chapter 6: Homomorphism and (first) isomorphism theorem | Essence of Group Theory

The isomorphism theorem is a very useful theorem when it comes to proving novel relationships in group theory, as well as proving something is a normal subgroup. But not many people can understand it intuitively and remember it just as a kind of algebraic coincidence. This video is about t

From playlist Essence of Group Theory

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How to Prove a Function is Injective(one-to-one) Using the Definition

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to prove a function is injective. Injective functions are also called one-to-one functions. This is a short video focusing on the proof.

From playlist Proofs

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O'Reilly Webcast: The Top 5 Features of Windows 8

*Note- Recorded from a live event. David Pogue, author of Windows 8: The Missing Manual, is deeply immersed in Microsoft's latest operating system. He's ready to share the juiciest morsels of Microsoft's completely reimagined graphical user interface designed to run on tablets as well as

From playlist O'Reilly Webcasts 2

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Ex 1: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

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Smoothing finite group actions on three-manifolds – John Pardon – ICM2018

Topology Invited Lecture 6.13 Smoothing finite group actions on three-manifolds John Pardon Abstract: There exist continuous finite group actions on three-manifolds which are not smoothable, in the sense that they are not smooth with respect to any smooth structure. For example, Bing co

From playlist Topology

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Lec 28 | MIT 18.03 Differential Equations, Spring 2006

Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters. View the complete course: http://ocw.mit.edu/18-03S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.03SC Differential Equations, Fall 2011

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Web 2.0 Expo NY 09: Tim O'Reilly, "The O'Reilly Radar"

Tim O'Reilly (O'Reilly Media, Inc.), "The O'Reilly Radar"

From playlist Web 2.0 Expo New York 2009

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The biggest week in AI (GPT-4, Office Copilot, Google PaLM, Anthropic Claude & more)

#mlnews #gpt4 #copilot Your weekly news all around the AI world Check out W&B courses (free): https://wandb.courses/ OUTLINE: 0:00 - Intro 0:20 - GPT-4 announced! 4:30 - GigaGAN: The comeback of Generative Adversarial Networks 7:55 - ChoppedAI: AI Recipes 8:45 - Samsung accused of fakin

From playlist All Videos

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Using the pythagorean theorem to a rhombus

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

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Sergey Melikhov - Not all links are isotopic to PL links

38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Sergey Melikhov, Steklov Math Institute (Moscow) Title: Not all links are isotopic to PL links Abstract: Two links in the 3-sphere are called (non-ambiently) isotopic if they are homotopic through embeddings. D. Rolfsen (

From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

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Captioning and Translation

This video is part of the Udacity course "Deep Learning". Watch the full course at https://www.udacity.com/course/ud730

From playlist Deep Learning | Udacity

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Andrej Bauer: Every metric space is separable in function realizability

The lecture was held within the framework of the Hausdorff Trimester Program: Constructive Mathematics. Abstract: I first show that in the function realizability topos every metric space is separable, and every object with decidable equality is countable. More generally, working with syn

From playlist Workshop: "Constructive Mathematics"

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Why Are We Loyal to Certain Brands?

Why do people often buy the same brands over and over again? Hosted by: Hank Green ---------- Support SciShow by becoming a patron on Patreon: https://www.patreon.com/scishow ---------- Dooblydoo thanks go to the following Patreon supporters: Kevin Bealer, Mark Terrio-Cameron, KatieMarie

From playlist SciShow Psych

Related pages

3-sphere | Ball (mathematics) | Homeomorphism | 3-manifold | Topology