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>> No.11770802 [View]
File: 153 KB, 1920x1080, 4a55374e.jpg [View same] [iqdb] [saucenao] [google]
11770802

>>11770778
>another neonazi
Please don't expose me to my supervisor! I need him to pay my rent.
>we don't need your kind here
Well this true, but for some reason I'm addicted to these threads.

>>11770773
It is good. Covers a lot of stuff and has good exercises & beautiful pictures.

>>11770789
Probably that finding a paper written by a Cohen is somewhat difficult when there are 5 or more wrong Cohens popping up. Unless you know a co-author or the name of the paper.

>> No.11709768 [View]
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11709768

Reminder:
>Henry Adams (Colorado State University)
>Title: Vietoris-Rips complexes and Borsuk-Ulam theorems
>Abstract: Given a metric space X and a scale parameter r, the Vietoris-Rips simplicial complex VR(X;r) has X as its vertex set, and contains a finite subset as a simplex if its diameter is at most r. Vietoris-Rips complexes were invented by Vietoris in order to define a (co)homology theory for metric spaces, and by Rips for use in geometric group theory. More recently, they have found applications in computational topology for approximating of the shape of a dataset. I will explain how the Vietoris-Rips complexes of the circle, as the scale parameter r increases, obtain the homotopy types of the circle, the 3-sphere, the 5-sphere, the 7-sphere, ..., until they are finally contractible. Only very little is understood about the homotopy types of the Vietoris-Rips complexes of the n-sphere. Knowing the homotopy connectivities of Vietoris-Rips complexes of spheres allows one to prove generalizations of the Borsuk-Ulam theorem for maps from the n-sphere into k-dimensional Euclidean space with k > n. Joint work with John Bush and Florian Frick.
https://sites.google.com/view/nialltaggartmath/oats

>>11709670
>yo what up
Hi, I guess. I never know if this is a question or just a strange way to say "hi" like the English "how do you do"... It only takes a few words to confuse the socially inept.

>>11709662
Isn't that how it's done in high school?

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