I'm looking to calculate the fundamental group of $X = S^2 \cup A$ where $A = \{ (x,y,z) \in \mathbb{R^3} : (x^2+y^2)(x^2+z^2)(y^2+z^2) = 0\}$ (coordinate axis) but I can't think of how, any help is appreciated!
2026-02-23 13:44:33.1771854273
Calculate Fundamental group of this sphere plus coordinate axis
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