Math 242
Assignments for Week 2
Week 2 (January 19-23). This week we finish up our discussion of filters.
Assignment for Friday, January 23
Exercise 10 in Filters handout.
Assignment for Monday, January 26.
- Show that a topological space is compact if and only if every ultrafilter converges to an element of the space, i.e., show (i) is equivalent to (iii) in Exercise !8 in the Filters handout.
- Exercise 14 in Filters handout
- Exercise 3 on page 9 of the notes
Lawrence C. Moore < lang@math.duke.edu>
Last modified: January 23, 1998