In mathematics, particularly in functional analysis, a bornological space is a type of space which, in some sense, possesses the minimum amount of structure needed to address questions of boundedness of sets and linear maps, in the same way that a topological space possesses the minimum amount of structure needed to address questions of continuity. Bornological spaces are distinguished by the property that a linear map from a bornological space into any locally convex spaces is continuous if and only if it is a bounded linear operator. Bornological spaces were first studied by George Mackey. The name was coined by Bourbaki after borné, the French word for "bounded". (Wikipedia).
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
The Human Body in Space - What happens to your body in space? Start learning with Brilliant today for FREE: http://brilliant.org/aperture Follow me on Instagram: https://www.instagram.com/mcewen/ Space is the final frontier. But you know, it’s not like space has a lot going on. There is q
From playlist Science & Technology 🚀
Covariant Phase Space with Boundaries - Daniel Harlow
More videos on http://video.ias.edu
From playlist Natural Sciences
Semi-coarse Spaces, Homotopy [Jonathan Treviño-Marroquín]
Semi-coarse spaces is an alternative to study (undirected) graphs through large-scale geometry. In this video, we present the structure and a homotopy what we worked on. In the final part, we look at the fundamental homotopy group of cyclic graphs.
From playlist Contributed Videos
Thomas Weighill: The Coarse Geometry of Hyperspaces
Thomas Weighill, UNC Greensboro Title: The Coarse Geometry of Hyperspaces We study the geometry of the space of subsets of an ambient metric space $X$ equipped with the Hausdorff metric. We show that for the space of subsets with at most n points, most coarse geometric properties are inher
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Dustin Clausen: New foundations for functional analysis
Talk by Dustin Clausen in Global Noncommutative Geometry Seminar (Americas) on November 12, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
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From playlist Science Unplugged: Special Relativity
What is the Universe expanding into?
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: Cosmology
EARTH FROM SPACE: Like You've Never Seen Before
Showing cities all over the world from orbit from North America to India with a dramatic Beethoven soundtrack.
From playlist Space Videos
Hidden Dimensions: Exploring Hyperspace
Extra dimensions of space—the idea that we are immersed in hyperspace—may be key to explaining the fundamental nature of the universe. Relativity introduced time as the fourth dimension, and Einstein’s subsequent work envisioned more dimensions still--but ultimately hit a dead end. Modern
From playlist Science
The International Space Station continues an uninterrupted human presence in space as a test-bed for future exploration beyond low-Earth orbit and the only science lab in microgravity. This music video featuring the space station and its crews is set to the song "World" by recording artist
From playlist Real Space Stations - YouTube Space Lab with Liam & Brad
Birth of the Solar System | Naked Science: Birth of the Solar System
The Solar System's birth was far from peaceful. Witness the spectacular explosion known as the "Big Bang". ➡ Subscribe: http://bit.ly/NatGeoSubscribe #NationalGeographic #SolarSystem #Space About National Geographic: National Geographic is the world's premium destination for science, exp
From playlist Our Place in the Solar System - YouTube Space Lab
CGSR Seminar Series | War in Space: Strategy, Spacepower, Geopolitics
Speaker Biography Bleddyn Bowen primary research interests concern modern warfare, politics, and security in outer space, as well as classical strategic theory. Dr. Bowen provides research-led teaching in his 3rd year specialist module PL3144 Politics and War in Outer Space. He is the au
From playlist Center for Global Security Research
10. The Four Fundamental Subspaces
MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 10. The Four Fundamental Subspaces License: Creative Commons BY-NC-SA More information at http
From playlist MIT 18.06 Linear Algebra, Spring 2005
[Lesson 11] QED Prerequisites - Tensor Product Spaces
We take a detour from the Angular Momentum Mind Map to cover the important topic of Tensor Product spaces in the Dirac Formalism. In quantum mechanics, the notion of tensors is hidden under the hood of the formalism and this lesson opens that hood. The goal is to make us confident that we
From playlist QED- Prerequisite Topics
Nicolò Zava (3/17/23): Every stable invariant of finite metric spaces produces false positives
In computational topology and geometry, the Gromov-Hausdorff distance between metric spaces provides a theoretical framework to tackle the problem of shape recognition and comparison. However, the direct computation of the Gromov-Hausdorff distance between finite metric spaces is known to
From playlist Vietoris-Rips Seminar
CGSR Seminar Series | U.S. National Security Space Strategy: The Cold War to the Present
Talk Abstract At the present time, U.S. government officials are faced with the increasingly complex task of protecting critical national security space infrastructure in a rapidly evolving threat environment. When placed in a historical context, we find that anxiety about space security
From playlist Center for Global Security Research
Vice President Pence Calls for Human Missions to Moon, Mars at National Space Council
Vice President Mike Pence called for returning U.S. astronauts to the Moon and eventual missions to Mars during the first meeting of the National Space Council, held on October 5 at the Smithsonian National Air and Space Museum’s Steven F. Udvar-Hazy Center, outside Washington. Chaired by
From playlist Return to the Moon Playlist
Cutting-edge stories about the origins of the universe, black holes, exploding stars, the search for ET life, time and space, the solar system. Television distribution by Janson Media: http://janson.com/rights
From playlist The Solar System