All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis
We introduced closed sets and clopen sets. We'll visit two definitions of closed sets. First, a set is closed if it is the complement of some open set, and second, a set is closed if it contains all of its limit points. We see examples of sets both closed and open (called "clopen sets") an
From playlist Real Analysis
Math 101 Fall 2017 112717 Open Sets and Continuity
Definitions: open set, closed set; examples. Statement of DeMorgan's Laws. Definition: pre-image. Example. Theorem: f is continuous iff the preimage of any open set is open. Motivation for compact sets.
From playlist Course 6: Introduction to Analysis (Fall 2017)
The intersection of two open sets is open -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Intro to Open Sets (with Examples) | Real Analysis
We introduce open sets in the context of the real numbers, along with examples and nonexamples of open sets. This is an important topic in the topology of the reals. We say a subset U of the reals is open if, for any x in U, there exists a delta-neighborhood of x that is contained in U. We
From playlist Real Analysis
Infinite Intersection of Open Sets that is Closed Proof
Infinite Intersection of Open Sets that is Closed Proof 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
How to Prove that the Interval (a, b] is Not an Open Set
In this video I will show you how to prove that the interval (a, b] is not an open set. I do a proof by contradiction and I go over all of the steps very carefully. I hope this video helps someone. If you enjoyed this video please consider liking, sharing, and subscribing. You can also h
From playlist Topology
An Example of a Closed Continuous Function that is Not Open
An Example of a Closed Continuous Function that is Not Open 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
Proof for Unions and Intersections of Open Sets | Real Analysis
We prove the union of a collection of open sets is open, and the intersection of a finite collection of open sets is open. To do this, we use basic set operation properties and the definition of open sets. #RealAnalysis Intro to Open Sets: https://youtu.be/pnWgj8jjs3w Real Analysis playl
From playlist Real Analysis
Assaf Rinot: Chain conditions, unbounded colorings and the C-sequence spectrum
Recording during the meeting "15th International Luminy Workshop in Set Theory" the September 23, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's A
From playlist Logic and Foundations
Live CEOing Ep 09: Representing Proofs in the Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Representing Proofs in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Live CEOing Ep 28: Proofs in the Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Proofs in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Type theory and formalization of mathematics - Anders Mörtberg
Short Talks by Postdoctoral Members Anders Mörtberg - September 28, 2015 http://www.math.ias.edu/calendar/event/88254/1443464100/1443465000 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
Axion DM (Lecture 3) by David Marsh
PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb
From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)
Big fiber theorems and ideal-valued measures in symplectic topology - Yaniv Ganor
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Big fiber theorems and ideal-valued measures in symplectic topology Speaker: Yaniv Ganor Affiliation: Technion Date: October 22, 2021 In various areas of mathematics there exist "big fiber theorems", these a
From playlist Mathematics
Orders and Ordered Sets | Axiomatic Set Theory, Section 2.3
We discuss order relations on sets, and isomorphisms of ordered sets. My Twitter: https://twitter.com/KristapsBalodi3
From playlist Axiomatic Set Theory
Natasha Dobrinen: Borel sets of Rado graphs are Ramsey
The Galvin-Prikry theorem states that Borel partitions of the Baire space are Ramsey. Thus, given any Borel subset $\chi$ of the Baire space and an infinite set $N$, there is an infinite subset $M$ of $N$ such that $\left [M \right ]^{\omega }$ is either contained in $\chi$ or disjoint fr
From playlist Combinatorics
The Mathematical Truth | Enrico Bombieri
Enrico Bombieri, Professor Emeritus, School of Mathematics, Institute for Advanced Study http://www.ias.edu/people/faculty-and-emeriti/bombieri October 29, 2010 In this lecture, Professor Enrico Bombieri attempts to give an idea of the numerous different notions of truth in mathematics.
From playlist Mathematics
Higher Dimensional Syntax - Eric Finster
Eric Finster Ecole Polytechnique Federal de Lausanne; Member, School of Mathematics September 27, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
The Subspace Topology is a Topology Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Subspace Topology is a Topology Proof
From playlist Proofs
Live CEOing Ep 586: Language Design in Wolfram Language [FindEquationalProof, Style/Item & More]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design