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"
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
Functional Analysis Lecture 25 2014 04 29 More applications of the Baire Category Theorem
Recall: basic concepts in Fourier Series (Fourier coefficients, partial sums, Dirichlet kernel). Application: continuous functions whose Fourier series diverge on a dense set are generic. Application: Open Mapping Theorem (any continuous, surjective linear transformation between Banach
From playlist Course 9: Basic Functional and Harmonic Analysis
Functional Analysis Lecture 24 2014 04 24 Applications of the Baire Category Theorem
Recall result: a complete metric space is not meager. Application: the points of discontinuity of a limit of continuous functions is meager. Lemma: existence of a smaller ball on which the limit function is epsilon-approximated by one of the continuous functions. Application: nowhere
From playlist Course 9: Basic Functional and Harmonic Analysis
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
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
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
We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at
From playlist Abstract algebra
Chapter 3: Lagrange's theorem, Subgroups and Cosets | Essence of Group Theory
Lagrange's theorem is another very important theorem in group theory, and is very intuitive once you see it the right way, like what is presented here. This video also discusses the idea of subgroups and cosets, which are crucial in the development of the Lagrange's theorem. Other than c
From playlist Essence of Group Theory
algebraic geometry 3 Bezout, Pappus, Pascal
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives more examples and applications of algebraic geometry, including Bezout's theorem, Pauppus's theorem, and Pascal's theorem.
From playlist Algebraic geometry I: Varieties
Group theory 4: Lagrange's theorem
This is lecture 4 of an online course on mathematical group theory. It introduces Lagrange's theorem that the order of a subgroup divides the order of a group, and uses it to show that all groups of prime order are cyclic, and to prove Fermat's theorem and Euler's theorem.
From playlist Group 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
Etienne Matheron : Some remarks regarding ergodic operators
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Dynamical Systems and Ordinary Differential Equations
Michael Wibmer: Etale difference algebraic groups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry