ejemplo terminado, tal vez añadir un dibujo?
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@ -316,6 +316,9 @@ The $2$-faces of the simplicial complex $\Delta^d$ will then be identified to th
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\{(-\sqrt{1-t},-\sqrt{t},0)|t\in[0,1]\}
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\end{array}\right.
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\end{equation}
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For the rest of the edges the preimages by $\phi$ would be analougous.
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For the rest of the edges the preimages by $\phi$ would be analougous. We will denote the edges as a triple of $\{+,-,0\}$ indicating in each coordinate the sign of the root taken.
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Finally, we will have $8$ $2$-faces. For three edges to form a face on the simplex, we need the corresponding vertices of the edges to coincide, that is, the edges with non-zero first coordinate must both tae the same sign on said coordinate, and equivalently for the rest of coordinates. Then, the faces are defined by taking the square root of the coordinates of the points in $S_1$ with sign equal to those in the edges.
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\end{example}
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\end{document}
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