Set Theory Exercises 2
You may work alone or in a group of up to 3 people and turn in 1 per
group. Make copies of your work so that you are prepared to present any
of the exercises after you turn it in.
- Choose 1 of Mendelson p. 6 #1a or 1b
- Mendelson p. 11 #3
- Let f:A → B be a function and C1,C2 &sube A.
Prove that f(C1 &cap C2) &sube
f(C1) &cap f(C2). In addition, give an example to show that equality fails.
Finally, what assumption do we need to make about f - one-to-one, onto, or
both - in order to ensure equality holds? Prove your answer.
(Graduate Problem) In Munkres p. 14 #2, pick two parts to