Functional Analysis Lecture 23 2014 04 17 L^p boundedness of Singular Integrals, end; Baire Category
Finishing the weak-type estimate. Strengthened weak-type estimate. Boundedness for p between 1 and 2. Using duality to obtain boundedness for p bigger than 2. Baire Category Theorem: review of elementary topological notions; definition of a set of first category (meager), a set of seco
From playlist Course 9: Basic Functional and Harmonic Analysis
The celebrated Baire Category Theorem in topology, which answers the following question: Is the intersection of open dense sets dense? If your space is complete, then the answer is yes. Come and enjoy this beautiful excursion in the world of topology! Topology Playlist: https://www.youtub
From playlist Topology
Introduction to sets || Set theory Overview - Part 2
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Introduction to sets || Set theory Overview - Part 1
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Introduction to Set Theory (Discrete Mathematics)
Introduction to Set Theory (Discrete Mathematics) This is a basic introduction to set theory starting from the very beginning. This is typically found near the beginning of a discrete mathematics course in college or at the beginning of other advanced mathematics courses. ***************
From playlist Set Theory
Set Theory (Part 2b): The Bogus Universal Set
Please feel free to leave comments/questions on the video below! In this video, I argue against the existence of the set of all sets and show that this claim is provable in ZFC. This theorem is very much tied to the Russell Paradox, besides being one of the problematic ideas in mathematic
From playlist Set Theory by Mathoma
Set Theory (Part 4): Relations
Please feel free to leave comments/questions on the video and practice problems below! In this video, the notion of relation is discussed, using the interpretation of a Cartesian product as forming a grid between sets and a relation as any subset of points on this grid. This will be an im
From playlist Set Theory by Mathoma
Takako Nemoto: Baire category theorem and nowhere differentiable continuous function...
Full title: Baire category theorem and nowhere differentiable continuous function in constructive mathematics The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: In Bishop's constructive mathematics, it is known that Bair
From playlist Workshop: "Constructive Mathematics"
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
Abonniert den Kanal, damit er auch in Zukunft bestehen kann. Es ist vollkommen kostenlos und ihr werdet direkt informiert, wenn ich einen Livestream anbiete. Hier erkläre ich den Satz von Baire.
From playlist Funktionalanalysis
Math research I have been working on: (Partial Derivative Of Okamoto’s Functions)
One of the math research projects I have been working on is now a preprint on the arxiv and on ResearchGate. I helped mentor two undergraduate students as our group investigated different properties of the partial derivative of Okomoto's functions with respect to the parameter. Even though
From playlist Academic Talks
Lecture 3: Quotient Spaces, the Baire Category Theorem and the Uniform Boundedness Theorem
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=58B5dEJReQ8&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Inside your computer - Bettina Bair
View full lesson: http://ed.ted.com/lessons/inside-your-computer-bettina-bair How does a computer work? The critical components of a computer are the peripherals (including the mouse), the input/output subsystem (which controls what and how much information comes in and out), and the cent
From playlist Think Like a Coder #CampYouTube #WithMe
Set Theory (Part 3): Ordered Pairs and Cartesian Products
Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser
From playlist Set Theory by Mathoma
The Ruse at Gallipoli and the Siege of Kovno I THE GREAT WAR - Week 55
Another 20.000 soldiers fresh from the barracks are supposed to turn the tide at Gallipoli. But Mustafa Kemal is an Ottoman commander to be reckoned with. With a tactical ruse and the right timing, he surprises the inexperienced ANZAC recruits with a bayonet charge. As the sand of Chunuk B
From playlist World War 1 - 1915 (Season 2)
Michael Kemeny: The moduli of singular curves on K3 surfaces
In this talk we will study the moduli space Zg of smooth genus g curves admitting a singular model on a K3 surface. Using the Mori-Mukai approach of rank two, non-Abelian Brill-Noether loci we will work out the dimension of Zg, and further we will work out the Brill-Noether theory of curve
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
What are Supersets? | Set Theory, Subsets, Set Relations
What are supersets? We'll be going over the definition and examples of supersets in today's video set theory lesson! If B is a subset of A then A is a superset of B. The superset relation is the same as the subset relation but in the opposite direction! Remember if every element of B is
From playlist Set Theory