Differential topology

Neat submanifold

In differential topology, an area of mathematics, a neat submanifold of a manifold with boundary is a kind of "well-behaved" submanifold. To define this more precisely, first let be a manifold with boundary, and be a submanifold of . Then is said to be a neat submanifold of if it meets the following two conditions: * The boundary of is a subset of the boundary of . That is, . * Each point of has a neighborhood within which 's embedding in is equivalent to the embedding of a hyperplane in a higher-dimensional Euclidean space. More formally, must be covered by charts of such that where is the dimension of . For instance, in the category of smooth manifolds, this means that the embedding of must also be smooth. (Wikipedia).

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From playlist Adding and Subtracting Fractions

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From playlist Prealgebra Chapter 1 (Complete chapter)

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From playlist Prealgebra Chapter 4 (Complete chapter)

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From playlist Prealgebra Chapter 3 (Complete chapter)

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This video explains how to multiply using whole numbers. http://mathispower4u.yolasite.com/

From playlist Multiplying and Dividing Whole Numbers

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This video explains how to write an subtraction equation from a number line model. http://mathispower4u.com

From playlist Addition and Subtraction of Whole Numbers

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From playlist Mathematics (All Of It)

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From playlist Integer Operations

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From playlist Mathematics

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From playlist Mathematics

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Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.

From playlist Manifolds

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From playlist MATHS: Numbers

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Sachchidanand Prasad: Morse-Bott Flows and Cut Locus of Submanifolds

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From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"

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From playlist École d’étĂ© 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

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From playlist Prealgebra Chapter 4 (Complete chapter)

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From playlist École d’étĂ© 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

Related pages

Manifold | Submanifold | Hyperplane | Cover (topology) | Local flatness | Differential topology