Reading: Shastri: Sections 2.2 and 2.3.
Exercises: Shastri, 2nd edition: Remark 2.2.3 (c), Exercises 2.2.23 (In Part (ii) the space X should be assumed Hausdorff and the existence of a partition of unity subordinate to the covering should also be assumed), 2.11.7.
Exercise A: Compute the fundamental group of the complex projective space CPn, n ≥ 0. You may use the identification of the fundamental groups of all n-spheres, n ≥ 0, as known.
Exercise B: Show that every CW complex is Hausdorff.
Last modified: (2019-11-18 23:03:16 CST)