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Algebraic Topology and Homology Theory

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Multiple Choice

What is the fundamental group of a space?

  1. The group of all continuous maps from the circle to the space
  2. The group of all homotopy classes of continuous maps from the circle to the space
  3. The group of all continuous maps from the space to the circle
  4. The group of all homotopy classes of continuous maps from the space to the circle