In this video, I cover the notion of continuity, as used in topology. The beautiful thing is that this doesn't use epsilon-delta at all, and instead just something purely geometric. Enjoy this topology-adventure! Topology Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmA13vj9xkHGG
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
In this video, I discuss what it means for a function in Rn to be continuous, and more generally about continuity in metric spaces. Moreover, I show that a function is continuous if and only if each component is continuous. Enjoy the metric space extravaganza! Every function is continuous
From playlist Topology
My submission for the Summer of Math Exposition competition: https://www.youtube.com/watch?v=ojjzXyQCzso An introduction to the idea behind the mathematical definition of continuity. If you are familiar with the epsilon-delta definition of continuity, you may recognise it here, where I
From playlist Summer of Math Exposition Youtube Videos
Topological Spaces: The Subspace Topology
Today, we discuss the subspace topology, which is a useful tool to construct new topologies.
From playlist Topology & Manifolds
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 Proof The Constant Function is Continuous
Topology Proof The Constant Function is Continuous 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 Topology
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
Every function is continuous! Don't believe it? Then watch this video! Continuity in Metric Spaces: https://youtu.be/WTbcJYBLxAs Continuity in Topology: https://youtu.be/tZIKPwhFP3s Topology Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmA13vj9xkHGGBXRMV32EKVI Subscribe to my cha
From playlist Topology
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
Bertrand Eynard - 1/4 Topological Recursion, from Enumerative Geometry to Integrability
https://indico.math.cnrs.fr/event/3191/ Topological recursion (TR) is a remarkable universal recursive structure that has been found in many enumerative geometry problems, from combinatorics of maps (discrete surfaces), to random matrices, Gromov-Witten invariants, knot polynomials, confor
From playlist Bertrand Eynard - Topological Recursion, from Enumerative Geometry to Integrability
Bertrand Eynard: (Mixed) topological recursion and the two-matrix model - Lecture 3
Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this series of lecture we will introduce the 2-matrix model and the issue of mixed traces, then we shall give the answers as formulas. Some formulas will be
From playlist Noncommutative geometry meets topological recursion 2021
Multi-valued algebraically closed fields are NTP₂ - W. Johnson - Workshop 2 - CEB T1 2018
Will Johnson (Niantic) / 05.03.2018 Multi-valued algebraically closed fields are NTP₂. Consider the expansion of an algebraically closed field K by 𝑛 arbitrary valuation rings (encoded as unary predicates). We show that the resulting structure does not have the second tree property, and
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Grothendieck Pairs and Profinite Rigidity - Martin Bridson
Arithmetic Groups Topic: Grothendieck Pairs and Profinite Rigidity Speaker: Martin Bridson Affiliation: Oxford University Date: January 26, 2022 If a monomorphism of abstract groups H↪G induces an isomorphism of profinite completions, then (G,H) is called a Grothendieck pair, recalling t
From playlist Mathematics
Sam Fisher: Fibring of RFRS groups
Sam Fisher, University of Oxford Title: Fibring of RFRS groups A group $G$ is said to algrebraically fibre if it admits an epimorphism to $\mathbb{Z}$ with finitely generated kernel. The motivation for this definition comes from a result of Stallings, which states that if $G$ is the fundam
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Profinite rigidity – Alan Reid – ICM2018
Topology Invited Lecture 6.7 Profinite rigidity Alan Reid Abstract: We survey recent work on profinite rigidity of residually finite groups. © International Congress of Mathematicians – ICM www.icm2018.org Os direitos sobre todo o material deste canal pertencem ao Instituto de Mat
From playlist Topology
János Kollár - What determines a variety? - WAGON
A scheme X is a topological space---which we denote by |X|---and a sheaf of rings on the open subsets of |X|. We study the following natural but seldom considered questions. How to read off properties of X from |X|? Does |X| alone determine X? Joint work with Max Lieblich, Martin Olsson, a
From playlist WAGON
The Generalized Neighborhood Base Construction
The generalized neighborhood base construction of a topology is a tool for creating topological spaces some of which end up being important counterexamples in the study of general topological spaces. The construction takes its inspiration from the ability to form a base for topology from a
From playlist The CHALKboard 2022
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems I
Abstract: Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f=0 in a projective space P^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain that when
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"