Question: Consider the real projective n-space RP obtained by identifying each point S with its antipode -r. (a) Compute its fundamental group. (b) Find all

Consider the real projective n-space RP" obtained by identifying each point S" with its antipode -r. (a) Compute its fundamental group. (b) Find all

Consider the real projective n-space RP" obtained by identifying each point S" with its antipode -r. (a) Compute its fundamental group. (b) Find all its covering spaces up to isomorphism. (c) Show that every map from RP2 S is nullhomotopic.

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