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
Evaluating Recurrence Relations (1 of 4: When do you apply Recurrence Relations?)
More resources available at www.misterwootube.com
From playlist Further Integration
Topology 1.4 : Product Topology Introduction
In this video, I define the product topology, and introduce the general cartesian product. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist 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
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
Recurrence Relation Solution - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
ITHT: Part 12- Model Structure on Topological Spaces
Credits: nLab: https://ncatlab.org/nlab/show/Introduction+to+Homotopy+Theory#TheClassicalModelStructureOfTopologicalSpaces Animation library: https://github.com/3b1b/manim My own code/modified library: https://github.com/treemcgee42/youtub...
From playlist Introduction to Homotopy Theory
Algebraic Topology - 3 - Using a Functor to Prove the Disc Doesn't Retract to a Circle
In this video we explain how we can prove that there is no retraction from the disc to its boundary. The idea is to assume that a retraction does exist and then derive a contradiction by the way the fundamental group behaves.
From playlist Category Theory Crash Course
AlgTop13: More applications of winding numbers
We define the degree of a function from the circle to the circle, and use that to show that there is no retraction from the disk to the circle, the Brouwer fixed point theorem, and a Lemma of Borsuk. This is the 13th lecture of this beginner's course in Algebraic Topology, given by Assoc
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Stable Homotopy Seminar, 4: Model categories (Ivo Vekemans)
This talk by Ivo Vekemans is a thorough introduction to model categories, presenting: weak factorization systems; the definition of model category and major examples (simplicial sets, topological spaces, and chain complexes); notions of homotopy in a model category, and the homotopy catego
From playlist Stable Homotopy Seminar
Algebraic topology: Fundamental group
This lecture is part of an online course on algebraic topology. We define the fundamental group, calculate it for some easy examples (vector spaces and spheres), and give a couple of applications (R^2 is not homeomorphic to R^3, the Brouwer fixedpoint theorem). For the other lectures in
From playlist Algebraic topology
A Controlled Mather Thurston Theorem - Mike Freedman
Workshop on the h-principle and beyond Topic: A Controlled Mather Thurston Theorem Speaker: Mike Freedman Affiliation: Microsoft Date: November 03, 2021 Abstract: The "c-principle" is a cousin of Gromov's h-principle in which cobordism rather than homotopy is required to (canonically) s
From playlist Mathematics
Model Categories by Rekha Santhanam
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
José Manuel García-Calcines (6/24/21): Topological complexity using arbitrary covers
Title: Topological complexity using arbitrary covers
From playlist Topological Complexity Seminar
Definable equivariant retractions onto skeleta in (...) - M. Hils - Workshop 3 - CEB T1 2018
Martin Hils (Münster) / 28.03.2018 Definable equivariant retractions onto skeleta in non-archimedean geometry For a quasi-projective variety V over a non-archimedean valued field, Hrushovski and Loeser recently introduced a pro-definable space Vb, the stable completion of V , which is a
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
What is the recursive formula and how do we use it
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Algebraic Topology 1.4 : Fundamental Group
In this video, I introduce the fundamental group, and explain the induced isomorphism resulting from a path and the induced homomorphism resulting from a continuous map, proving functorality. I also briefly cover retractions and how their induced homomorphism is surjective. Translate This
From playlist Topology