Descriptive set theory | Mathematical logic hierarchies

Projective hierarchy

In the mathematical field of descriptive set theory, a subset of a Polish space is projective if it is for some positive integer . Here is * if is analytic * if the complement of , , is * if there is a Polish space and a subset such that is the projection of ; that is, The choice of the Polish space in the third clause above is not very important; it could be replaced in the definition by a fixed uncountable Polish space, say Baire space or Cantor space or the real line. (Wikipedia).

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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

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From playlist Algebraic geometry I: Varieties

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From playlist Math Foundations

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From playlist MathHistory: A course in the History of Mathematics

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From playlist Basic Algebraic Geometry

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The second video in a series about projective geometry. We list the axioms for projective planes, give an examle of a projective plane with finitely many points, and define the real projective plane.

From playlist Introduction to Projective Geometry

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From playlist Universal Hyperbolic Geometry

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From playlist Math Foundations

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From playlist Math Foundations

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From playlist Google Cloud Platform Tutorials | Edureka

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From playlist Mathematics

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๐Ÿ”ฅ ๐„๐๐ฎ๐ซ๐ž๐ค๐š ๐†๐จ๐จ๐ ๐ฅ๐ž ๐‚๐ฅ๐จ๐ฎ๐ ๐‚๐ž๐ซ๐ญ๐ข๐Ÿ๐ข๐œ๐š๐ญ๐ข๐จ๐ง ๐ญ๐ซ๐š๐ข๐ง๐ข๐ง๐ (Use code "๐˜๐Ž๐”๐“๐”๐๐„๐Ÿ๐ŸŽ") : https://www.edureka.co/google-cloud-architect-certification-training This Edureka video on 'Projects in Google Cloud Platform' will give you an overview of Projects in Google Cloud Platform and will help you understand

From playlist Google Cloud Platform Tutorials | Edureka

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From playlist Virtual Reality Course For Beginners

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From playlist The CERIAS Security Seminars 2004

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From playlist Decentralisation

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Jamie Haddock: "Scaling the Hierarchical Topic Modeling Mountain: Neural NMF and Iterative Proje..."

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From playlist Deep Learning and Medical Applications 2020

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From playlist ยญยญยญยญPhysique mathรฉmatique des nombres de Hurwitz pour dรฉbutants

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The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger

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

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Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b

From playlist Geometry, Groups and Dynamics (GGD) - 2017

Related pages

Cantor space | Descriptive set theory | Analytic set | Complement (set theory) | Analytical hierarchy | Effective Polish space | Effective descriptive set theory | Polish space | Baire space (set theory)