General topology | Outlines of mathematics and logic

List of general topology topics

This is a list of general topology topics, by Wikipedia page. (Wikipedia).

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Algebraic topology: Introduction

This lecture is part of an online course on algebraic topology. This is an introductory lecture, where we give a quick overview of some of the invariants of algebraic topology (homotopy groups, homology groups, K theory, and cobordism). The book "algebraic topology" by Allen Hatcher men

From playlist Algebraic topology

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AlgTopReview: An informal introduction to abstract algebra

This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is

From playlist Algebraic Topology

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10 Math and Physics Books

Here are 10 completely different books on math and physics. These books are all so different. The topics include Basic Math, Topology, Abstract Algebra, Mathematical Statistics, Calculus, Physics, Partial Differential Equations, Precalculus, and Real Analysis. Here is a list of the books.

From playlist Book Reviews

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Topology 1.7 : More Examples of Topologies

In this video, I introduce important examples of topologies I didn't get the chance to get to. This includes The discrete and trivial topologies, subspace topology, the lower-bound and K topologies on the reals, the dictionary order, and the line with two origins. I also introduce (again)

From playlist Topology

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Topology 1.1 : Open Sets of Reals

In this video, I give a definition of the open sets on the real numbers. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Topology

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Topology (What is a Topology?)

What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b

From playlist Topology

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AlgTop1: One-dimensional objects

This is the first lecture of this beginner's course in Algebraic Topology (after the Introduction). In it we introduce the two basic one-dimensional objects: the line and circle. The latter has quite a few different manifestations: as a usual Euclidean circle, as the projective line of one

From playlist Algebraic Topology: a beginner's course - N J Wildberger

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Statistics Lecture 5.2 Part 1

Statistics Lecture 5.2 Part 1: Probability Distributions, Mean, and Standard Deviation

From playlist Statistics Playlist 1

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Quantum Hamiltonian Engineering with parametric drives by Masatoshi Sato

Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys

From playlist Non-Hermitian Physics - PHHQP XVIII

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Hannah Schwartz - The presence of 2-torsion

June 21, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Two knots in S^3 are ambiently isotopic if and only if there is an orientation preserving automorphism of S^3 carrying one knot to the other (this foll

From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I

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Chern numbers of families of algebraic curves and ordinary differential equations by Sheng-Li Tan

Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area

From playlist Algebraic Surfaces and Related Topics

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Frédéric Chazal interviewed by Steve Oudot (September 14, 2022)

Frédéric Chazal interviewed by Steve Oudot (September 14, 2022) For more on the interview series, along with the advertisement posters, please see https://www.aatrn.net/interviews

From playlist AATRN Interviews

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Elba Garcia-Failde: Introduction to topological recursion - Lecture 1

Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this mini-course I will introduce the universal procedure of topological recursion, both by treating examples and by presenting the general formalism. We wi

From playlist Noncommutative geometry meets topological recursion 2021

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Even spaces and motivic resolutions - Michael Hopkins

Vladimir Voevodsky Memorial Conference Topic: Even spaces and motivic resolutions Speaker: Michael Hopkins Affiliation: Harvard University Date: September 13, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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Nicolás Matte Bon: Confined subgroups and high transitivity

A subgroup of a group is confined if the closure of its conjugacy class in the Chabauty space does not contain the trivial subgroup. Such subgroups arise naturally as stabilisers for non-free actions on compact spaces. I will explain a result establishing a relation between the confined su

From playlist Dynamical Systems and Ordinary Differential Equations

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Charles Rezk - 4/4 Higher Topos Theory

Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RezkNotesToposesOnlinePart4.pdf In this series of lectures I will give an introduction to the concept of "infinity

From playlist Toposes online

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Homological Algebra(Homo Alg 1) by Graham Ellis

DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra

From playlist Group Theory and Computational Methods

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AI code to analyze a Tech Report:Deloitte Tech Trends 2021 (SBERT 1)

Augment your coded artificial intelligence for semantic analysis. With the aim to decipher interlinked semantic topics within a set of documents. Empirical reflections from a real world application of self-coded AI: let your AI present the content of a tech report (100 pages) to you. Wil

From playlist Create insights into complex topics with AI

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Most Popular Topology Book in the World

This is absolutely the most widely used and most popular topology book in the entire world. It is used at the undergraduate level(senior) and graduate level. The book is called Topology and it is written by James Munkres. This is the book on amazon: https://amzn.to/2pNwAMm If you use the

From playlist Cool Math Stuff

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Restricted product | Baire category theorem | Spectral space | Lebesgue's number lemma | Zariski topology | Measure of non-compactness | Topological ring | Combinatorial topology | Tietze extension theorem | Ultrametric space | Lower limit topology | T1 space | Topological vector space | First-countable space | Wedge sum | Axiom of countability | Ultrafilter | Locally compact space | Hausdorff space | Uniform space | Simplex | Descriptive set theory | Uniform continuity | Tychonoff space | Open and closed maps | Lipschitz continuity | Uniform property | Topological algebra | Topological property | Continuum (topology) | Tychonoff's theorem | Upper topology | Sequential space | List of algebraic topology topics | Simplicial complex | Paracompact space | Product topology | Cantor cube | Local homeomorphism | Metric space | Scott continuity | Homotopy | Homeomorphism | Separable space | List of geometric topology topics | Alexandrov topology | Baire space | Second-countable space | Sperner's lemma | Boundary (topology) | Compact-open topology | General topology | Topological tensor product | Topological module | Semi-locally simply connected | Stone duality | Specialization (pre)order | Intrinsic metric | Compactification (mathematics) | Uniform norm | Covering space | Real tree | Stone's representation theorem for Boolean algebras | Polish space | Discrete space | Open set | Closed set | Cantor space | Urysohn's lemma | Separated sets | Clopen set | Cauchy sequence | Germ (mathematics) | Barycentric subdivision | Subbase | Algebraic topology | CW complex | Kuratowski closure axioms | Long line (topology) | Triangulation | Cone (topology) | Pointed space | Path (topology) | Neighbourhood (mathematics) | Topological abelian group | P-adic analysis | List of topology topics | Order theory | Compact space | Manifold | Atlas (topology) | Pointwise convergence | Lawson topology | Closeness (mathematics) | Polytope | Topological space | Uniform isomorphism | Closure (topology) | Extended real number line | Heine–Borel theorem | Hilbert cube | Banach fixed-point theorem | Topological group | Space-filling curve | Sober space | Base (topology) | Quotient space (topology) | Unit interval | Banach–Mazur game | Lindelöf space | Inductive dimension | Category of metric spaces | Topologist's sine curve | Hausdorff distance | Connected space | Smash product | Homotopy lifting property | Meagre set | Locally constant function | Lebesgue covering dimension | Solenoid (mathematics) | Trivial topology | Regular space | Simplicial approximation theorem | Weak topology | Sorgenfrey plane | Normal space | Adjunction space | Compactly generated space | Relatively compact subspace | Cantor set | Uniformly connected space | Finite intersection property