Math 131 092816 Continuity; Continuity and Compactness
Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Is there any place in the Universe where there's truly nothing? Consider the gaps between stars and galaxies? Or the gaps between atoms? What are the properties of nothing?
From playlist Guide to Space
What are Overlapping Sets? | Set Theory
What are overlapping sets? This is a relation between sets that I have not seen any YouTube videos on, so I figured I'd add this video explaining the term to the massive YouTube catalogue! In this video we define overlapping sets and give some examples. Two sets, A and B, are overlapping
From playlist Set Theory
Math 131 Fall 2018 101018 Continuity and Compactness
Definition: bounded function. Continuous image of compact set is compact. Continuous image in Euclidean space of compact set is bounded. Extreme Value Theorem. Continuous bijection on compact set has continuous inverse. Definition of uniform continuity. Continuous on compact set impl
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Does space mean emptiness? How do you describe it?
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From playlist Science Unplugged: Physics
Kevin Whyte, Lecture 2: Infinite Groups in Geometric Topology, Part 2
31st Workshop in Geometric Topology, University of Wisconsin-Milwaukee, June 13, 2014
From playlist Kevin Whyte: 31st Workshop in Geometric Topology
Xavier Tolsa: The weak-A∞ condition for harmonic measure
Abstract: The weak-A∞ condition is a variant of the usual A∞ condition which does not require any doubling assumption on the weights. A few years ago Hofmann and Le showed that, for an open set Ω⊂ℝn+1 with n-AD-regular boundary, the BMO-solvability of the Dirichlet problem for the Laplace
From playlist Analysis and its Applications
Ahlfors-Bers 2014 "Quasi-isometric rigidity of the class of convex-cocompact Kleinian groups"
Peter Haïssinsky (Toulouse): The talk will be devoted to discussing background and ingredients for the proof of the following theorem: a finitely generated group quasi-isometric to a convex-cocompact Kleinian group contains a finite index subgroup isomorphic to a convex-cocompact Kleinian
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
[BOURBAKI 2018] 20/10/2018 - 4/4 - Anastasia KHUKHRO
Anastasia KHUKHRO Espaces et groupes non exacts admettant un plongement grossier dans un espace de Hilbert, d'après Arzhantseva–Guentner–Špakula, Arzhantseva–Osajda, Osajda, et al. Dans l’étude des espaces métriques, c’est souvent la structure géométrique grossière qui joue un rôle import
From playlist BOURBAKI - 2018
If the universe is spatially infinite, what can we say about reality...
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From playlist Science Unplugged: Cosmology
On the geometry of uniform meandric systems - Ewain Gwynne
Probability Seminar Topic: On the geometry of uniform meandric systems Speaker: Ewain Gwynne Affiliation: University of Chicago Date: October 31, 2022 A meandric system of size $n$ is the set of loops formed from two arc diagrams (non-crossing perfect matchings) on $\{1,\dots,2n\}$, on
From playlist Mathematics
Every Compact Set in n space is Bounded
Every Compact Set in n space is Bounded 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 Advanced Calculus
Real Analysis Ep 29: Intermediate Value Theorem
Episode 29 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about uniform continuity & the intermediate value theorem. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Sta
From playlist Math 3371 (Real analysis) Fall 2020
Random Covers of Hyperbolic Surfaces (Lecture 1) by Doron Puder
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
Pawel Grzegrzolka - Asymptotic dimension of fuzzy metric spaces
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Pawel Grzegrzolka, Stanford University Title: Asymptotic dimension of fuzzy metric spaces Abstract: In this talk, we will discuss asymptotic dimension of fuzzy metric spaces. After a short introduction to fuzzy metric spac
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Bubbling theory for minimal hypersurfaces - Ben Sharp
Variational Methods in Geometry Seminar Topic: Bubbling theory for minimal hypersurfaces Speaker: Ben Sharp Affiliation: University of Warwick Date: November 27, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Uniform Continuity and Compactness
Uniform Continuity and Compactness In this video, I show a super nice property of uniform continuity: Namely any continuous function on [a,b] is *automatically* uniformly continuous. This test definitely saves us lots of time, enjoy! Here is a proof that's valid for general metric spaces
From playlist Limits and Continuity
From metric spaces to topological spaces -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Boris Solomyak: Lecture on Delone sets and Tilings
Abstract: In this lecture we focus on selected topics around the themes: Delone sets as models for quasicrystals, inflation symmetries and expansion constants, substitution Delone sets and tilings, and associated dynamical systems. Recording during the Jean-Morlet chair research school "T
From playlist Dynamical Systems and Ordinary Differential Equations