FACULTY OF SCIENCE / MATHEMATICS / MAT4037 - METRIC AND TOPOLOGICAL SPACES I

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1sets, functions, finite sets, countable sets[1] p. 1-10
2order relation, absolute value and some of the important inequalities[1] p. 10-13
3real number sequences, continuity, linear spaces (vector spaces)[1] p. 13-24
4metric spaces[1] p. 27-35
5metric spaces[1] p. 35-42
6normed spaces[1] p. 42-44
7sub-metric spaces [1] p. 44-47
8normed subspaces[1] p. 44-47
9open sets in metric spaces[1] p. 60-62
10closed sets in metric spaces[1] p. 62-64
11open and closed sets in sub-metric spaces[1] p. 64-65
12neighborhoods in metric spaces[1] p. 65-70
13 equivalent metrics[1] p. 70-76
14sustainability of these definitions and concepts[1] p. 70-76