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  • ...n who had established the CMI one year earlier as a nonprofit organization based in his hometown; Cambridge, MA to aid mathematical research. Clay, a well-o ...mentarily described as geometric representations of a given [[manifold]]'s topological properties, are composed of [[algebraic cycles]]. More rigorously, the comm
    13 KB (1,969 words) - 16:57, 22 February 2024
  • ...th>\Omega(X,x_0)</math> by saying that <math>f\sim g</math> if there is a (based) [[homotopy]] between <math>f</math> and <math>g</math> (that is, if there More generally, if <math>X</math> is an [[h-space]], then <math>\pi_1(X)</math> is abelian,
    8 KB (1,518 words) - 19:11, 23 January 2017