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- Perhaps the simplest object of study in algebraic topology is the '''fundamental group'''. ...h>\pi_1(X,x_0)=\Omega(X,x_0)/\sim</math> be the set of equivalence classes of <math>\Omega(X,x_0)</math> under <math>\sim</math>.8 KB (1,518 words) - 19:11, 23 January 2017