Lecture 11

Applications to Cell Complexes (p. 50-52)

State and prove Proposition 1.26 (the effect of adding a 2-cell to a CW complex). Use this to calculate the fundamental group of an orientable surface (Corollary 1.27). State and prove Corollary 1.28 (for every group G there is a 2-dimensional complex whose fundamental group is G).