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)
Math 101 Introduction to Analysis 112515: Introduction to Compact Sets
Introduction to Compact Sets: open covers; examples of finite and infinite open covers; definition of compactness; example of a non-compact set; compact implies closed; closed subset of compact set is compact; continuous image of a compact set is compact
From playlist Course 6: Introduction to Analysis
Math 101 Introduction to Analysis 113015: Compact Sets, ct'd
Compact sets, continued. Recalling various facts about compact sets. Compact implies infinite subsets have limit points (accumulation points), that is, compactness implies limit point compactness; collections of compact sets with the finite intersection property have nonempty intersectio
From playlist Course 6: Introduction to Analysis
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
Ben discusses proof by exhaustion and goes through some examples.
From playlist Basics: Proofs
Math 131 092116 Properties of Compact Sets
Properties of compact sets. Compact implies closed; closed subsets of compact sets are compact; collections of compact sets that satisfy the finite intersection property have a nonempty intersection; infinite subsets of compact sets must have a limit point; the infinite intersection of ne
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Compact sets enjoy some mysterious properties, which I'll discuss in this video. More precisely, compact sets are always bounded and closed. The beauty of this result lies in the proof, which is an elegant application of this subtle concept. Enjoy! Compactness Definition: https://youtu.be
From playlist Topology
Proof: a³ - a is always divisible by 6 (2 of 2: Proof by exhaustion)
More resources available at www.misterwootube.com
From playlist The Nature of Proof
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
Representations of p-adic groups and applications - Jessica Fintzen
Joint IAS/Princeton University Number Theory Seminar Topic: Representations of p-adic groups and applications Speaker: Jessica Fintzen Affiliation: University of Cambridge and Duke University; Member, School of Mathematics Date: October 8, 2020 For more video please visit http://video.ia
From playlist Mathematics
New Methods in Finsler Geometry - 23 May 2018
http://www.crm.sns.it/event/415 Centro di Ricerca Matematica Ennio De Giorgi The workshop has limited funds to support lodging (and in very exceptional cases, travel) costs of some participants, with priority given to young researchers. When you register, you will have the possibility to
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Automorphic Cohomology II (Carayol's Work and an Application) - Phillip Griffiths
Automorphic Cohomology II (Carayol's Work and an Application) Phillip Griffiths Institute for Advanced Study February 17, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Mod-01 Lec-03 Development of Jet propulsion for aircraft
Introduction to Aerospace Propulsion by Prof. Bhaskar Roy and Prof. A. M. Pradeep, Department of Aerospace Engineering, IIT Bombay For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Bombay: Aerospace - Jet Aircraft Propulsion (CosmoLearning Aerospace Engineering)
Representations of p-adic groups - Jessica Fintzen
Workshop on Representation Theory and Geometry Topic: Representations of p-adic groups Speaker: Jessica Fintzen Affiliation: University of Cambridge and Duke University; Member, School of Mathematics Date: April 02, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Hilbert Space Techniques in Complex Analysis and Geometry (Lecture 7) by Dror Varolin
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
Kai Cieliebak - Stein and Weinstein manifolds
Stein manifolds arise naturally in the theory of several complex variables. This talk will give an informal introduction to some of their topological and symplectic aspects such as: handlebody construction of Stein manifolds; their symplectic counterparts; Weinstein manifolds; flexibility
From playlist Not Only Scalar Curvature Seminar
Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition
The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this
From playlist Set Theory
Hilbert Space Techniques in Complex Analysis and Geometry (Lecture 5) by Dror Varolin
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
This video is about compactness and some of its basic properties.
From playlist Basics: Topology
2022 10 Dan Coman: Extension of quasiplurisubharmonic functions
CONFERENCE Recording during the thematic meeting : "Complex Geometry, Dynamical Sytems and Foliation Theory" the October 20, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathemat
From playlist Analysis and its Applications