General topology | Closure operators

Proximity space

In topology, a proximity space, also called a nearness space, is an axiomatization of the intuitive notion of "nearness" that hold set-to-set, as opposed to the better known point-to-set notion that characterize topological spaces. The concept was described by Frigyes Riesz but ignored at the time. It was rediscovered and axiomatized by V. A. Efremovič in 1934 under the name of infinitesimal space, but not published until 1951. In the interim, A. D. Wallace discovered a version of the same concept under the name of separation space. (Wikipedia).

Video thumbnail

What is space?

What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:

From playlist Science Unplugged: Physics

Video thumbnail

What is spacetime?

"Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu"

From playlist Science Unplugged: Special Relativity

Video thumbnail

Space: So Close, So Far

Build a scale model of the solar system to understand just how far the planets are from the Earth. License: Creative Commons BY-NC-SA More information at http://k12videos.mit.edu/terms-conditions

From playlist Measurement

Video thumbnail

Weird notions of "distance" || Intro to Metric Spaces

Visit https://brilliant.org/TreforBazett/ to get started learning STEM for free, and the first 200 people will get 20% off their annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations ►https://www.beautifulequation.com/pages/trefor Weird, fun

From playlist Cool Math Series

Video thumbnail

What Is Nothing?

Is there any place in the Universe where there's truly nothing? Consider the gaps between stars and galaxies? Or the gaps between atoms? What are the properties of nothing?

From playlist Guide to Space

Video thumbnail

Dimensions (1 of 3: The Traditional Definition - Directions)

More resources available at www.misterwootube.com

From playlist Exploring Mathematics: Fractals

Video thumbnail

Astronomy - Ch. 7: The Solar Sys - Comparative Planetology (3 of 33) Terrestrial vs Gas Planets

Visit http://ilectureonline.com for more math and science lectures! In this video I will compare the terrestrial planets to the gas planets. Next video in this series can be seen at: http://youtu.be/CC8FJO5CKFg

From playlist ASTRONOMY 7B THE SOLAR SYSTEM - COMPARATIVE PLANETOLOGY

Video thumbnail

Topology: Metric Spaces

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

From playlist Basics: Topology

Video thumbnail

Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 4

Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 4: Von Neumann equivalence. Abstract: We’ll introduce measure equivalence (ME), W*-equivalence (W*E), and von Neumann equivalence (VNE). We’ll give examples and discuss invariants. YMC*A is an annual confere

From playlist YMC*A 2021

Video thumbnail

Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 3

Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 3: Proper proximality. Abstract: We discuss properly proximal groups as defined by Boutonnet, Ioana, and myself, and give some applications to group von Neumann algebras associated to higher-rank groups. YMC*

From playlist YMC*A 2021

Video thumbnail

Benjamin Berkels - An introduction to variational image processing - IPAM at UCLA

Recorded 16 September 2022. Benjamin Berkels of RWTH Aachen University presents "An introduction to variational image processing" at IPAM's Computational Microscopy Tutorials. Abstract: This tutorial introduces three fundamental image processing problems, i.e. image denoising, image segmen

From playlist Tutorials: Computational Microscopy 2022

Video thumbnail

Dimensions Chapter 2

Chapter 2 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

Video thumbnail

Lauren Ruth: "Von Neumann Equivalence"

Actions of Tensor Categories on C*-algebras 2021 "Von Neumann Equivalence" Lauren Ruth - Mercy College, Mathematics Abstract: We introduce a new equivalence relation on groups, which we call von Neumann equivalence, that is coarser than both measure equivalence and W*-equivalence. Our ge

From playlist Actions of Tensor Categories on C*-algebras 2021

Video thumbnail

Anosov representations: the basics and maybe more (Lecture 01) by Olivier Guichard

DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o

From playlist Surface group representations and Projective Structures (2018)

Video thumbnail

Source separation with proximal and neural network methods - Melchior - Workshop 2 - CEB T3 2018

Peter Melchior (Princeton University) / 26.10.2018 Source separation with proximal and neural network methods ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twi

From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

Video thumbnail

Ulugbek Kamilov: "Computational Imaging: Reconciling Models and Learning"

Deep Learning and Medical Applications 2020 "Computational Imaging: Reconciling Models and Learning" Ulugbek Kamilov, Washington University in St. Louis Abstract: There is a growing need in biological, medical, and materials imaging research to recover information lost during data acquis

From playlist Deep Learning and Medical Applications 2020

Video thumbnail

Suvrit Sra: Lecture series on Aspects of Convex, Nonconvex, and Geometric Optimization (Lecture 2)

The lecture was held within the framework of the Hausdorff Trimester Program "Mathematics of Signal Processing". (26.1.2016)

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Video thumbnail

Where 2.0 2011, DJ Patil, "The Power of Proximity"

It's not just where you are, but what's around you. A new wave of apps like Color are taking advantage of this to curate social information for you. DJ Patil Greylock Partners DJ is the "Data Scientist in Residence" at Greylock Partners. Previously he was the Chief Product Officer for

From playlist Where 2.0 2011

Video thumbnail

Where Is The Earth Located?

You're there, and I'm here. And we're all on the Earth. But where is the Earth? In the Solar System, obviously, which is in the Milky Way, and so on. Think about your place in the cosmos, your exact spot in the Universe relative to everything else. It's time to get your bearings, and once

From playlist Planets and Moons

Video thumbnail

Working for Freedom on All Fronts: The Radical Dharma Framework for Liberation (Part 1)

Dropping into the truth of our own experience of the world as it is, this daylong with the authors of Radical Dharma: Talking Race Love & Liberation, Dr. Jasmine Syedullah, Lama Rod Owens, and Rev. angel Kyodo williams invites participants into a step-by-step integrated cumulative contempl

From playlist Contemplation By Design

Related pages

Urysohn's lemma | Topological space | Compactification (mathematics) | Uniform space | Topology | Relation (mathematics) | Hausdorff space