Topos theory

Quasitopos

In mathematics, specifically category theory, a quasitopos is a generalization of a topos. A topos has a subobject classifier classifying all subobjects, but in a quasitopos, only strong subobjects are classified. Quasitoposes are also required to be finitely cocomplete and locally cartesian closed. A solid quasitopos is one for which 0 is a strong subobject of 1. (Wikipedia).

Video thumbnail

Numerical mathematics of quasicrystals – Pingwen Zhang – ICM2018

Numerical Analysis and Scientific Computing Invited Lecture 15.8 Numerical mathematics of quasicrystals Pingwen Zhang Abstract: Quasicrystals are one kind of fascinating aperiodic structures, and give a strong impact on material science, solid state chemistry, condensed matter physics an

From playlist Numerical Analysis and Scientific Computing

Video thumbnail

Constructing group actions on quasi-trees – Koji Fujiwara – ICM2018

Topology Invited Lecture 6.12 Constructing group actions on quasi-trees Koji Fujiwara Abstract: A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasi-trees. The groups we can handle include non-elementary hype

From playlist Topology

Video thumbnail

Why Do Physicists Believe In These Particles That DON'T Exist? Quasiparticles by Parth G

The answer: these "Quasiparticles" make physics much easier to study! In this video we'll be studying 3 quasiparticles (sometimes known as collective excitations). They don't actually exist, in that they are not fundamental particles themselves, but can be thought of as mathematical simpl

From playlist Quantum Physics by Parth G

Video thumbnail

Stereolab - The Super-It

Created with mp32tube.com

From playlist the absolute best of stereolab

Video thumbnail

Schemes 27: Quasicoherent sheaves

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We show how to turn a module over a ring into a sheaf of modules over its spectrum. A quasicoherent sheaf of modules of one which looks locally like one constr

From playlist Algebraic geometry II: Schemes

Video thumbnail

This is a SOUND PARTICLE - Phonon and Quasiparticle Physics Explained by Parth G

We know that light behaves as a wave AND a particle... but can we treat sound in exactly the same way? And what about this exciting new particle known as the "dance particle"? Hey everyone, in this video I wanted to discuss how physicists like to take complicated physics phenomena and mod

From playlist Classical Physics by Parth G

Video thumbnail

Schemes 17: Finite, quasifinite

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We define finite morphisms, and attempt to sort out the three different definition of quasifinite morphisms in the literature.

From playlist Algebraic geometry II: Schemes

Video thumbnail

Giuseppe Rosolini: Quotient completions and applications

The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: The notion of elementary quotient completion of a Lawvere elementary doctrine introduced by Maietti and Rosolini proved to be a generalization of the notion of the exact

From playlist Workshop: "Proof, Computation, Complexity"

Video thumbnail

a quasi-Pythagorean identity

Playing with triangles: a quasi-Pythagorean identity. I highlight a beautiful identity coming from geometry, which has to do with equilateral triangles and complex numbers. This has been inspired by a Tweet by Steven Strogatz from Cornell University. For this, we use Euler's formula and ro

From playlist Complex Analysis

Related pages

Complete category | Mathematics | Topos | Subobject classifier | Category theory