Product topology

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

Product groups

Now that we have defined and understand quotient groups, we need to look at product groups. In this video I define the product of two groups as well as the group operation, proving that it is indeed a group.

From playlist Abstract algebra

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

Proof of the Dot Product Theorem

Dot products are essential in a mathematician's toolbox. There is a property of dot products, however, that is often taken for granted: the multiplication of the magnitudes of two vectors by the cosine of the angle between them equals the sum of the multiplication of their respective compo

From playlist Fun

Building A Product From The Ground Up

For most seasoned business owners and aspiring entrepreneurs, the product development process often carries a mystical aura. Product development refers to the complete process of taking a product to market. It also covers renewing an existing product and introducing an old product to a new

From playlist Product Development

Webinar: If I build it, will they come? Understanding Product-Market Fit

Learn more at: https://stanford.io/370yNcZ So your company has a product idea. How do you know if this product is worth building? Will there be a demand for it? Enter: product-market fit. Put simply, product-market fit means that there are enough people out there who will buy what your c

From playlist Leadership & Management

Introduction to the Dot Product

Introduction to the Dot Product 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 Calculus 3

Product group example

There is no better way of understanding product groups than working through and example. In this video we look at the product group of the cyclic group with two elements and itself. The final result is isomorphic to what we call the Klein 4 group.

From playlist Abstract algebra

Vectors: Dot Product

This is the third video of a series from the Worldwide Center of Mathematics explaining the basics of vectors. This video explains the precise definition of dot product (also known as scalar product) and shows some examples of calculated dot products. For more math videos, visit our channe

From playlist Basics: Vectors

Classical and Digital Topological Groups

A research talk presented at the Fairfield University Mathematics Research Seminar, October 6, 2022. Should be accessible to a general mathematics audience, combining ideas from topology, graph theory, and abstract algebra. The paper is by me and Dae Woong Lee, available here: https://arx

From playlist Research & conference talks

MAST30026 Lecture 7: Constructing topological spaces (Part 1)

I introduced the notion of a basis for a topology, defined the product of topological spaces and proved the universal property of the product. Lecture notes: http://therisingsea.org/notes/mast30026/lecture7.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I

From playlist MAST30026 Metric and Hilbert spaces

CTNT 2020 - Infinite Galois Theory (by Keith Conrad) - Lecture 3

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Infinite Galois Theory (by Keith Conrad)

Topology 1.6 : Metric Topology

In this video, I introduce the metric topology, and introduce how the topologies it generates align with the standard topologies on Euclidean space. Email : fematikaqna@gmail.com Subreddit : https://www.reddit.com/r/fematika Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Topology

CTNT 2022 - An Introduction to Galois Representations (Lecture 2) - by Alvaro Lozano-Robledo

This video is part of a mini-course on "An Introduction to Galois Representations" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2022 - An Introduction to Galois Representations (by Alvaro Lozano-Robledo)

Clark Barwick - 3/3 Exodromy for ℓ-adic Sheaves

In joint work with Saul Glasman and Peter Haine, we proved that the derived ∞-category of constructible ℓ-adic sheaves ’is’ the ∞-category of continuous functors from an explicitly defined 1-category to the ∞-category of perfect complexes over ℚℓ. In this series of talks, I want to offer s

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

Geometric Representation of Structured Extensions in Ergodic Theory - Henrik Kreidler

Special Year Research Seminar Topic: Geometric Representation of Structured Extensions in Ergodic Theory Speaker: Henrik Kreidler Affiliation: Bergische Universität Wuppertal Date: March 14, 2023 The Mackey-Zimmer representation theorem is a key structural result from ergodic theory: Eve

From playlist Mathematics

Jezus Gonzalez (6/25/17) Bedlewo: Topological complexity and the motion planning problem in robotics

Early this century Michael Farber introduced the concept of Topological Complexity (TC), a model to study the continuity instabilities in the motion planning problem in robotics. Farber’s model has captured much attention since then due to the rich algebraic topology properties encoded by

From playlist Applied Topology in Będlewo 2017

Algebraic Topology - 6 - Introduction to Limits and Colimits

This is an introduction to limits and colimits. We explain what Cones and coCones are.

From playlist Category Theory Crash Course

What is a closed set ?

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

MAST30026 Lecture 7: Constructing topological spaces (Part 2)

I defined the disjoint union of topological spaces, quotient spaces and the pushout. Lecture notes: http://therisingsea.org/notes/mast30026/lecture7.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for this class, every

From playlist MAST30026 Metric and Hilbert spaces