Homotopy theory | Differential topology
In mathematics, a stunted projective space is a construction on a projective space of importance in homotopy theory, introduced by James. Part of a conventional projective space is collapsed down to a point. More concretely, in a real projective space, complex projective space or quaternionic projective space KPn, where K stands for the real numbers, complex numbers or quaternions, one can find (in many ways) copies of KPm, where m < n. The corresponding stunted projective space is then KPn,m = KPn/KPm, where the notation implies that the KPm has been identified to a point. This makes a topological space that is no longer a manifold. The importance of this construction was realised when it was shown that real stunted projective spaces arose as Spanier–Whitehead duals of spaces of Ioan James, so-called quasi-projective spaces, constructed from Stiefel manifolds. Their properties were therefore linked to the construction of frame fields on spheres. In this way the vector fields on spheres question was reduced to a question on stunted projective spaces: for RPn,m, is there a degree one mapping on the 'next cell up' (of the first dimension not collapsed in the 'stunting') that extends to the whole space? Frank Adams showed that this could not happen, completing the proof. In later developments spaces KP∞,m and stunted lens spaces have also been used. (Wikipedia).
Introduction to Projective Geometry (Part 1)
The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.
From playlist Introduction to Projective Geometry
The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger
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From playlist Universal Hyperbolic Geometry
algebraic geometry 15 Projective space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry
From playlist Algebraic geometry I: Varieties
The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
Hidden Dimensions: Exploring Hyperspace
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From playlist Science
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From playlist Science Unplugged: Special Relativity
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신입SW인력을 위한 실전 자바(Java) 스프링(Spring) 동영상과정 제 06강 DI설정 방법 이번 강의는 DI설정 방법편입니다. "저희는 도구를 드립니다. 여러분은 창의력으로 만들어주세요." PC로 보실때는 서울산업진흥원(www.sba.kr)에서 제작한 유튜브 동영상에서 HD 동영상을 보시는 것이 좋습니다. 1080p로 설정해서 보시면 글자가 잘 보입니다. 오른쪽 하단 톱니모양에서 1080p를 선택하세요. 그리고 모바일로 보실 때에는 유튜브 앱으로 보십시오. 그래야 글자가 잘 보입니다.
From playlist 자바-JSP-Spring 강좌
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From playlist New York History
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From playlist MathSeminars
An Intuitive Introduction to Projective Geometry Using Linear Algebra
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From playlist Summer of Math Exposition 2 videos
이번 강의는 ' C++언어 18강 동적 메모리 할당 ' 편입니다. 소스코드: http://iotcenter.seoul.go.kr/681
From playlist C++언어
No Solo Talk - Still Untitled: The Adam Savage Project - 5/31/18
We're waiting until more people have seen Solo before we do a full Spoilercast review. So this week, we talk about a laser cutting storage boxes, internet mob mentality, and a new Tested project with actress and stunt performer Zoe Bell. Plus, some love for Starchild! links for show menti
From playlist The Adam Savage Project
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From playlist 자바-JSP-Spring 강좌
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From playlist The Adam Savage Project
The Projective Perspective of Perspective Projection
Slim Engine (My software that I use to make this video): https://github.com/HardCoreCodin/SlimEngine 3b1b's Summer of Math Explainers competition (SoME1) landing page: https://www.3blue1brown.com/blog/some1 Music: "Memories" from Bensound.com
From playlist Summer of Math Exposition Youtube Videos
Making Marvel Studios' Moon Knight Costume!
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From playlist Tested's 10 Most Popular Videos
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A SPECIAL THANK YOU TO OUR SUPER CHAT CONTRIBUTORS! This week, Adam begins with a show-and-tell of two of his Scorpion King swords, before taking viewer questions and comments. For this stream, we enabled a YouTube feature called Super Chat. Super Chat is a paid feature, which pins commen
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