Every Compact Set in n space is Bounded
Every Compact Set in n space is Bounded 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 Advanced Calculus
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
This video defines finite and infinite sets. http://mathispower4u.com
From playlist Sets
Math 101 Fall 2017 112917 Introduction to Compact Sets
Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi
From playlist Course 6: Introduction to Analysis (Fall 2017)
Example of Countable Partition
Real Analysis: We give an example of a partition of the natural numbers N consisting of a countably infinite number of countably infinite subsets. Conversely we note that a countable union of countably infinite sets is countably infinite.
From playlist Real Analysis
How to Find a Minimal Generating Set
How to Find a Minimal Generating Set
From playlist Linear Algebra
This video is about compactness and some of its basic properties.
From playlist Basics: Topology
Ever wondered what a partial sum is? The simple answer is that a partial sum is actually just the sum of part of a sequence. You can find a partial sum for both finite sequences and infinite sequences. When we talk about the sum of a finite sequence in general, we’re talking about the sum
From playlist Popular Questions
Thick And Localising Subcategories Of Derived Categories (Lecture-2) by Srikanth Iyengar
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)
Some Arithmetic Path Integrals - Minhyong Kim
Informal High Energy Theory Seminar Topic: Some Arithmetic Path Integrals Speaker: Minhyong Kim Affiliation: Oxford University Date: April 3, 2019 For more video please visit http://video.ias.edu
From playlist High Energy Theory
Manifolds 1.4 : Topological Properties
In this video, I introduce the fact that manifolds have a countable basis of precompact coordinate balls, are locally compact, are locally path connected, and are paracompact. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet Playlist : https://w
From playlist Manifolds
Steve Oudot (9/8/21): Signed barcodes for multi-parameter persistence via rank decompositions
In this talk I will introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally, of a poset representation. Like its unsigned counterpart in one-parameter persistence, the signed barcode
From playlist AATRN 2021
Dualities in Local Algebra (Lecture-1) by Srikanth Iyengar
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)
Étale cohomology Lecture II, 8/25/2020
Serre's complex analogue of the Riemann hypothesis, étale morphisms, intro to sites
From playlist Étale cohomology and the Weil conjectures
Local-Global principles for tori over arithmetic surfaces - Hartmann - Workshop 1 - CEB T2 2019
Julia Hartmann (University of Pennsylvania) / 22.05.2019 Local-Global principles for tori over arithmetic surfaces Given a field F and a collection of overfields Fi (i ∈ I), we say that the local global principle holds for an F-variety Z if the existence of a rational point over each Fi
From playlist 2019 - T2 - Reinventing rational points
What are Bounded Sequences? | Real Analysis
What are bounded sequences? We go over the definition of bounded sequence in today's real analysis video lesson. We'll see examples of sequences that are bounded, and some that are bounded above or bounded below, but not both. We say a sequence is bounded if the set of values it takes on
From playlist Real Analysis
Collective Behaviour of a Family of Power Law Models by Manas Kulkarni
DISCUSSION MEETING : HYDRODYNAMICS AND FLUCTUATIONS - MICROSCOPIC APPROACHES IN CONDENSED MATTER SYSTEMS (ONLINE) ORGANIZERS : Abhishek Dhar (ICTS-TIFR, India), Keiji Saito (Keio University, Japan) and Tomohiro Sasamoto (Tokyo Institute of Technology, Japan) DATE : 06 September 2021 to 1
From playlist Hydrodynamics and fluctuations - microscopic approaches in condensed matter systems (ONLINE) 2021
Jacob Lurie - Tamagawa Numbers and Nonabelian Poincare Duality, I [2013]
Jacob Lurie Wednesday, August 28 3:10PM Tamagawa Numbers and Nonabelian Poincare Duality, I Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: Let q and q0 be positive definite integral quadratic forms. We say that
From playlist Number Theory
In this video, Tori explains the meaning of a set. She looks into finite versus infinite sets, and explains elements.
From playlist Basics: College Algebra