Articles containing proofs | Theorems in topology | Theorems in measure theory
In mathematical measure theory, for every positive integer n the ham sandwich theorem states that given n measurable "objects" in n-dimensional Euclidean space, it is possible to divide each one of them in half (with respect to their measure, e.g. volume) with a single (n − 1)-dimensional hyperplane. This is even possible if the objects overlap. It was proposed by Hugo Steinhaus and proved by Stefan Banach (explicitly in dimension 3, without taking the trouble to state the theorem in the n-dimensional case), and also years later called the Stone–Tukey theorem after Arthur H. Stone and John Tukey. (Wikipedia).
What is the ham sandwich theorem?
From playlist Mathematics
The ‘Ham Sandwich Theorem’ Will Change How You See the Universe… Seriously
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From playlist Elements | Seeker
Calculus - The sandwich theorem
This video explains more about the sandwich theorem and how we use it to find the limit of a function. This theorem is also known as the squeeze theorem. For more videos visit http://www.mysecretmathtutor.com
From playlist Calculus
Topology is weird: The Ham Sandwich Theorem
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From playlist Cool Math Series
AlgTop14: The Ham Sandwich theorem and the continuum
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From playlist Algebraic Topology: a beginner's course - N J Wildberger
This video explains the Squeeze (Sandwich) Theorem and provides an example. http://mathispower4u.com
From playlist Calculus Proofs
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From playlist Calculus
The Ham Sandwich theorem and the continuum | Algebraic Topology | NJ Wildberger
We discuss the Borsuk-Ulam theorem concerning a continuous map from the sphere to the plane, and the Ham Sandwich theorem. One application is to show that the two dimensional and three dimensional affine spaces are not homeomorphic. This is the 14th lecture of this beginner's course in Al
From playlist Algebraic Topology
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From playlist Women in Mathematics - Numberphile
What is Special About Polynomials? (Perspectives from Coding theory and DiffGeom) - Larry Guth
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From playlist Mathematics
The Codimension Barrier in Incidence Geometry - Larry Guth
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From playlist Mathematics
An isoperimetric inequality for the Hamming cube and some consequences - Jinyoung Park
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From playlist Mathematics
Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains
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From playlist AATRN 2020
Making a single pancake is one thing, but being able to cut it exactly in half with a single straight line is a whole new ball game. This time, we will see that not only this is possible, you can actually cut two pancakes simultaneously with a single straight line, and see a little bit the
From playlist Summer of Math Exposition 2 videos
The sequence that grows remarkably large, then drops to zero!
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From playlist Summer of Math Exposition 2 videos
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