Homeomorphisms | Uniform spaces

Uniform isomorphism

In the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces that respects uniform properties. Uniform spaces with uniform maps form a category. An isomorphism between uniform spaces is called a uniform isomorphism. (Wikipedia).

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Group Isomorphisms in Abstract Algebra

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit

From playlist Abstract Algebra

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23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra

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Isomorphisms in abstract algebra

In this video I take a look at an example of a homomorphism that is both onto and one-to-one, i.e both surjective and injection, which makes it a bijection. Such a homomorphism is termed an isomorphism. Through the example, I review the construction of Cayley's tables for integers mod 4

From playlist Abstract algebra

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Isomorphisms (Abstract Algebra)

An isomorphism is a homomorphism that is also a bijection. If there is an isomorphism between two groups G and H, then they are equivalent and we say they are "isomorphic." The groups may look different from each other, but their group properties will be the same. Be sure to subscribe s

From playlist Abstract Algebra

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Isomorphic Graphs

This video defines and gives and example of isomorphic graphs. mathispower4u.com

From playlist Graph Theory (Discrete Math)

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Homomorphisms in abstract algebra

In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu

From playlist Abstract algebra

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Linear Algebra 8.3 Isomorphism

My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.

From playlist Linear Algebra

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58 - Isomorphism

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

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Bruno de Mendonca Braga: Coarse equivalences of metric spaces and out automorphisms of Roe algebras

Talk by Bruno Braga in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 2, 2020.

From playlist Global Noncommutative Geometry Seminar (Americas)

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Kevin Buzzard (lecture 4/20) Automorphic Forms And The Langlands Program [2017]

Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w

From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]

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GT9. Group Isomorphisms

Abstract Algebra: In analogy with bijections for sets, we define isomorphisms for groups. We note various properties of group isomorphisms and a method for constructing isomorphisms from onto homomorphisms. We also show that isomorphism is an equivalence relation on the class of groups.

From playlist Abstract Algebra

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Lower bounds for subgraph isomorphism – Benjamin Rossman – ICM2018

Mathematical Aspects of Computer Science Invited Lecture 14.3 Lower bounds for subgraph isomorphism Benjamin Rossman Abstract: We consider the problem of determining whether an Erdős–Rényi random graph contains a subgraph isomorphic to a fixed pattern, such as a clique or cycle of consta

From playlist Mathematical Aspects of Computer Science

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Endoscopic Transfer of Depth-Zero Suprcuspidal L-Packets - Tasho Kaletha

Endoscopic Transfer of Depth-Zero Suprcuspidal L-Packets - Tasho Kaletha Princeton University; Member, School of Mathematics November 18, 2010 In a recent paper, DeBacker and Reeder have constructed a piece of the local Langlands correspondence for pure inner forms of unramified p-adic gr

From playlist Mathematics

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Matthew Lorentz: The Hochschild cohomology of uniform Roe algebras

Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on October 28, 2020.

From playlist Global Noncommutative Geometry Seminar (Americas)

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Random orderings and unique ergodicity of automorphism groups - Russell Lyons

Conference on Graphs and Analysis Russell Lyons June 4, 2012 More videos on http://video.ias.edu

From playlist Mathematics

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Perfectoid spaces (Lecture 3) by Kiran Kedlaya

PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath

From playlist Perfectoid Spaces 2019

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The abstract chromatic number - Leonardo Nagami Coregliano

Computer Science/Discrete Mathematics Seminar I Topic: The abstract chromatic number Speaker: Leonardo Nagami Coregliano Affiliation: University of Chicago Date: March 22, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Initial Theta Data - part 03 - Local Global l-torsion Compatibility

We explain the "technical condition" appearing in initial theta data. I learned about this particular simplification from Chung Pang Mok's notes.

From playlist Initial Theta Data

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Recovering elliptic curves from their p-torsion - Benjamin Bakker

Benjamin Bakker New York University May 2, 2014 Given an elliptic curve EE over a field kk, its p-torsion EpEp gives a 2-dimensional representation of the Galois group GkGk over 𝔽pFp. The Frey-Mazur conjecture asserts that for k=ℚk=Q and p13p13, EE is in fact determined up to isogeny by th

From playlist Mathematics

Related pages

Bijection | Inverse function | Mathematics | Function (mathematics) | Topology | Uniform property | Category (mathematics) | Isomorphism