Topology | Algebraic topology

Shelling (topology)

In mathematics, a shelling of a simplicial complex is a way of gluing it together from its maximal simplices (simplices that are not a face of another simplex) in a well-behaved way. A complex admitting a shelling is called shellable. (Wikipedia).

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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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Topology: Interior, Exterior and Boundary

This video is about the interior, exterior, and boundary of sets.

From playlist Basics: Topology

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What is a closed set ?

I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla

From playlist Topology

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Topological Spaces: The Subspace Topology

Today, we discuss the subspace topology, which is a useful tool to construct new topologies.

From playlist Topology & Manifolds

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Definition of a Topological Space

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space

From playlist Topology

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Finding the Interior, Exterior, and Boundary of a Set Topology

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Interior, Exterior, and Boundary of a Set Topology

From playlist Topology

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What Is Network Topology? | Types of Network Topology | BUS, RING, STAR, TREE, MESH | Simplilearn

In this video on Network Topology, we will understand What is Network topology, the role of using topology while designing a network, Different types of Topologies in a Network. Network topology provides us with a way to configure the most optimum network design according to our requiremen

From playlist Cyber Security Playlist [2023 Updated]🔥

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Topology 1.3 : Basis for a Topology

In this video, I define what a basis for a topology is. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Topology

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Topology 1.4 : Product Topology Introduction

In this video, I define the product topology, and introduce the general cartesian product. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Topology

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The Collapse of Viruses: Graph-Based Percolation Theory in the Wolfram Language

Graph-based percolation theory may be done in the Wolfram Language, here to aid in the understanding of viruses, their disassembly and eventual collapse. Capsids are protein nanocontainers that store and protect a virus’s genetic material in transit between hosts. Capsids consist of hundre

From playlist Wolfram Technology Conference 2020

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Sam Gunningham: Character stacks and (q−)geometric representation theory

Abstract: I will discuss applications of geometric representation theory to topological and quantum invariants of character stacks. In particular, I will explain how generalized Springer correspondence for class D-modules and Koszul duality for Hecke categories encode surprising structure

From playlist Algebraic and Complex Geometry

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The p-Adic Logarithm - Part 05 - (Toy) Log Links

We are now going to define log-linked fields. This originates in AAG3 but not phrased exactly in this way. Hopefully this presentation simplifies things.

From playlist p-adic log

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Karim Alexander Adiprasito - 1/6 - Lefschetz, Hodge and combinatorics...

Lefschetz, Hodge and combinatorics: an account of a fruitful cross-pollination Almost 40 years ago, Stanley noticed that some of the deep theorems of algebraic geometry have powerful combinatorial applications. Among other things, he used the hard Lefschetz theorem to rederive Dynkin's t

From playlist Hadamard Lectures 2021 - Karim Alexander Adiprasito - Lefschetz, Hodge and combinatorics: an account of a fruitful cross-pollination

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Ginestra Bianconi - Dynamics of higher-order networks: effect of topology and triadic interactions

Recorded 02 September 2022. Ginestra Bianconi of Queen Mary, University of London presents "The dynamics of higher-order networks: the effect of topology and triadic interactions" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: Higher

From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond

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How do we discover MAJORANA PARTICLES in NANOWIRES?

Majorana particles are real solutions of the Dirac equation, representing their own antiparticles. In the condensed matter context, Majorana refers to electronic modes in nanostructures described by peculiar ‘pulled-apart’ wavefunctions and by hypothesized non-Abelian exchange. This last

From playlist Sergey Frolov's talks

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David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 1

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

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JUC U.S. East 2015 - Using Jenkins Job Builder to Easily Manage Your Jobs

By: Ari LiVigni, Red Hat Is there an easier way to managing Jenkins jobs than via the UI, XML files, API? There IS a simpler solution; you can use Jenkins Job Builder (OpenStack upstream project). Jenkins Job Builder offers the following: - Simple descriptions of Jenkins jobs in YAML fo

From playlist JUC U.S East 2015

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You Could Have Invented Homology, Part 3: Boundaries & The Big Idea | Boarbarktree

Part 3, covering the boundary and interior of simplices and slowly edging closer to homology. I am going to take a hiatus after this one to get my my grad school life in order. patreon.com/boarbarktree twitter.com/boarbarktree

From playlist You Could Have Invented Homology | Boarbarktree

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Lecture 4: The Connes operator on HH

Correction: The formula we give for the Connes operator B is slightly wrong, there needs to be a '+' instead of a '-' in between the two summands. In this video, we discuss the Connes operator on Hochschild homology. Feel free to post comments and questions at our public forum at https:

From playlist Topological Cyclic Homology

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Topology: Topological Spaces

This video is about topological spaces and some of their basic properties.

From playlist Basics: Topology

Related pages

Triangulation (geometry) | Coxeter complex | Wedge sum | Building (mathematics) | Homotopy | Mathematics | Simplicial complex | N-sphere | Tetrahedron