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# All Questions

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### What is the generator of $\pi_9(S^2)$?

This is more or less the same question as [ What is the generator of $\pi_9(S^3)$? ], except what I would like to know is if it is possible to describe this map in a way not only topologists can ...
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### Asphericity of hypersurface complement in ${\mathbb C}^n$

How does one check that the following space is aspherical? $X_n=\{(x_1,x_2,\ldots , x_n)\in {(\mathbb C^*)}^n\ |\ x_i\neq x_j\ and\ x_ix_j\neq 1\ for\ i\neq j\}$. One way I can think of is to give ...
68 views

### Bounding the dimension of the euclidean space in which any $n$-manifold embeds “$k$-uniquely” in it

(The question will be interesting for topological/Pl as well but in order to not be too vague I will restrict the meaning of manifold to smooth manifold without boundary). I'm interested in the ...
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Let $\Sigma_g$ be the fundamental group of the closed orientable surface of genus $g\ge 2$; let $B_n$ be the braid group on $n\ge 3$ braids; let $S_n$ be the symmetric group on $n$ letters; let $p:B_n\... 1answer 135 views ### Classification of pretzel links up to link homotopy using alexander quandle I am currently reading this paper where the author classifies the pretzel links up to link homotopy using a quasi-trivial quandle$\mathbb{Z}_{k}[t^{\pm 1}]\diagup_{(t-1)^{2}}\$, and I find it ...
271 views

I read in Milnor's article "Link groups", where he defines invariants to classify links up to link homotopy, that the linking number is a complete invariant which can tell almost trivial two ...

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