Geometric topology | Topological spaces

Dogbone space

In geometric topology, the dogbone space, constructed by R. H. Bing, is a quotient space of three-dimensional Euclidean space such that all inverse images of points are points or , yet it is not homeomorphic to . The name "dogbone space" refers to a fanciful resemblance between some of the diagrams of genus 2 surfaces in R. H. Bing's paper and a dog bone. showed that the product of the dogbone space with is homeomorphic to . Although the dogbone space is not a manifold, it is a and a . (Wikipedia).

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Complex Analysis: Dogbone Contour Generalisation

Today, we come up with a very nice generalisation for an integral using the dogbone contour from complex analysis. Dogbone contour example: https://www.youtube.com/watch?v=UDIKojCQ94U&t=2s Residue at Infinity: https://www.youtube.com/watch?v=n3bD3MW6Hvk

From playlist Contour Integration

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From Near Death to Perfect Pet | Dogtown

DogTown is a sanctuary for hundreds of dogs in southern Utah, where trainers transform hopeless dogs into loving pets. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure. Thr

From playlist DogTown | National Geographic

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2 Short Ideas: Art, Distance and The Daily Show | Idea Channel | PBS Digital Studios

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateidea Tweet us! http://bit.ly/pbsideachanneltwitter Idea Channel Facebook! http://bit.ly/pbsideachannelfacebook Talk about this episode on reddit! http://bit.ly/pbsideachanne

From playlist Newest Episodes

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Complex Analysis: Dogbone Contour Example

Today, we go over the solution to an example of the dogbone contour. This example was taken from the following wikipedia page: https://en.wikipedia.org/wiki/Contour_integration Residues At Infinity: https://www.youtube.com/watch?v=n3bD3MW6Hvk Timestamps: 0:46 Step 1: The branch cuts 13:2

From playlist Contour Integration

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Complex Analysis: Dogbone Contour Example #3

Today, we evaluate the integral from -1 to 1 of sqrt(1-x^2)/(1+x^2). Tried to one take this video (this video is straight from the camera) so it's not as smooth as the others. Might try to do this more often as editing can take a while, and probably not worth it to correct minor mistakes o

From playlist Contour Integration

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Day 20 2D defects and microscopy

0:00 recap of dislocation from last class 1:26 edge vs screw dislocation 4:24 dislocation motion produces deformation 4:59 2D defects, grain boundaries as series of edge dislocations 9:51 twin boundaries 10:44 stacking faults 12:35 phase boundaries and domains 14:06 optical microscopy 16:2

From playlist Introduction to Materials Science and Engineering Fall 2017

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"World" in Space

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

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Complex Analysis: Dogbone Contour Example #2

Today, we evaluate a viewer suggested integral using contour integration.

From playlist Contour Integration

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Inside a Dog Rehab Center | National Geographic

Where do you send a dog that's unadoptable? For some dogs it's the ASPCA Behavioral Rehabilitation Center in Madison, New Jersey. There the staff, working in conjunction with the St. Hubert's Animal Welfare Center, are helping dogs with serious issues change their behavior. The dogs have c

From playlist Animals | National Geographic

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Ask the Space Lab Expert: What is Space?

Have you ever wanted to go to Space? In this first episode of Space Lab, Brad and Liam from "World of the Orange" take you on an adventure to discover exactly what is Space. You'll find out about the solar system, the big bang, Sci-Fi movies that are becoming reality, and more!

From playlist What is Space? YouTube Space Lab with Liam and Brad

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Doggie Dentistry | National Geographic

After a lifetime battling a terrible infection that has eaten away her jaw, Zambi gets treated at DogTown. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure. Through their wo

From playlist DogTown: Season 1

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Intersection of Planes on Geogebra

In this video, we look at a strategy for finding the intersection of planes on Geogebra.

From playlist Geogebra

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Trapped Dogs Rescued | National Geographic

Unwanted dogs are thrown deep into a cave in Ethiopia. Thousands have already died but two find salvation in DogTown. DogTown: http://channel.nationalgeographic.com/series/dogtown ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's pre

From playlist DogTown: Season 1

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Not Without My Brother! | Dogtown

These two dogs are about to be separated for the first time, but before that happens they must learn how to socialize with others. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adv

From playlist DogTown | National Geographic

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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

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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

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[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

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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

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Have You Ever Seen a Dog Fetus? | National Geographic

Witness the evolution of a dog fetus inside its mother's womb. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure. Through their world-class scientists, photographers, journa

From playlist Inside | National Geographic

Related pages

Geometric topology | Manifold | Quotient space (topology) | List of topologies | Euclidean space | Whitehead manifold | Product topology