MCS 332: Topology Name .

MCS 332: Topology Name .
Exam 3b:
Countability & separation axioms, Tychonoff theorem, complete metric spaces
Due 10:30 a.m. Monday, 20 May 2002

Instructions: You must do the problems on this test entirely on your own, and you are bound on your honor not to share any information regarding the exam with anyone before all students have turned in their exams. You may use your MCS 331-332 texts, your notes, and your worked problems, but no other sources.

Work three of the four problems. The problems have equal weight. Note in the table below which three problems you want graded.

Problem	Grade it?	Points earned
1
2
3
4
Total

Notation: $\Bbb{R}$ denotes the real numbers; ${\Bbb{Z}}_+$ denotes the positive integers.

Points will be awarded based on the quality of your answers, including the supporting explanations you give.

Please take the entire examination in one ``sitting.''

Date
Time you started
Time you finished

When you are done, put your exam back in the envelope and then slip your completed exam under my office door (Olin 307) as soon as possible after you are done.