Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

1.II.21F

Algebraic Topology | Part II, 2008

(i) State the van Kampen theorem.

(ii) Calculate the fundamental group of the wedge S2∨S1S^{2} \vee S^{1}S2∨S1.

(iii) Let X=R3\AX=\mathbb{R}^{3} \backslash AX=R3\A where AAA is a circle. Calculate the fundamental group of XXX.

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