Questions tagged [topology]

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Are there any built-in or third-party packages for general topology or algebraic topology in Mathematica?

I am learning general topology (wiki) and algebraic topology (wiki). Are there any built-in or third-party packages for general topology or algebraic topology in Mathematica? Through googling, I ...
3
votes
0answers
199 views

Help to finish a Sperner lemma application

This is the code for the celebrated Sperner's Lemma in two dimensions --- which is equivalent to Brouwer Fixed Point theorem. Incidentally, it's my first program without any help --- until I ask this ...
2
votes
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62 views

Built-in functions for Homotopy group

Does Mathematica have built-in functions for Homotopy group, for example for computing $$\pi_n(S^m)=?$$ or more generally $n$-th homotopy group, $$\pi_n(X)=?$$ for some $X$. (I search, but I could ...
1
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Persistence diagram

Is there an easy way to get a persistence diagram of given planar points? For example the following points: ...
0
votes
0answers
45 views

Compactness and Connectedness of sets

Can we check Compactness/Connectedness of sets in $R^{2}$ using some mathematica code ? If Yes , Can anyone tell how ?