- #1
math8
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How do you compute the Fundamental group of the 1-skeleton of the 3-cube [tex]I^{3}[/tex] = [tex][0,1]^{3}[/tex] ? What about the Fundamental group of the 1- skeleton of the 4-cube [tex]I^{4}[/tex] ?
I know the Fundamental group of a space X at a point [tex]x_{0}[/tex] is the set of homotopy classes of loops of X based at [tex]x_{0}[/tex] . And that the 1-skeleton of a space X is the union of all cells of the CW complex for X up to dimension 1. But how do you find the fundamental group of the 1 skeleton for those cubes?
I know the Fundamental group of a space X at a point [tex]x_{0}[/tex] is the set of homotopy classes of loops of X based at [tex]x_{0}[/tex] . And that the 1-skeleton of a space X is the union of all cells of the CW complex for X up to dimension 1. But how do you find the fundamental group of the 1 skeleton for those cubes?