MATH3070  Introduction to Topology  2017/18
Announcement
 (4/2/2018) Please note that Ex1)Q9) has been updated.
 (4/5/2018) Note that there is a modification in Tutorial Classwork 8. The space Y should be connected. Nonetheless, the suggested solution is correct.
General Information
Lecturer

Thomas Kwok Keung AU
 Office: LSB 213
 Tel: 3943 7981
 Email:
Teaching Assistant

Ka Ho WONG
 Office: LSB 228
 Tel: 3943 7956
 Email:
 Office Hours: By appointment
Time and Venue
 Lecture: M910, MMW 702; W8, LPN LT
 Tutorial: W7, LPN LT
Course Description
This course is to introduce the basic notions of topology. Emphasis will be placed on providing a general foundation for learning analysis (real and functional) and geometry (algebraic and differential). The former is customarily called point set topology while the latter algebraic topology. Roughly, 80% of the course deals with entrance concepts and foundational materials for analysis; the remaining 20% leads to topological recognition of geometric space. There will be examples from Euclidean spaces, function spaces, and geometric spaces.
Preclass Notes
Lecture Notes
 Lecture notes 1
 Lecture notes 2
 Lecture notes 3
 Lecture notes 4
 Lecture notes 5
 Lecture notes 6
 Lecture notes 7
 Lecture notes 8
 Lecture notes 9
 Lecture notes 10
 Lecture notes 11
 Lecture notes 12
 Lecture notes 13
 Lecture notes 14
 Lecture notes 15
 Lecture notes 16
 Lecture notes 17
 Lecture notes 18
 Lecture notes 19
 Lecture notes 20
 Lecture notes 21
 Lecture notes 22
 Lecture notes 23
 Lecture notes 24
Class Notes
Tutorial Notes
 Tutorial Classwork 0
 Tutorial Classwork 1
 Tutorial Classwork 2
 Tutorial Classwork 3
 Tutorial Classwork 4
 Tutorial Classwork 5
 Tutorial Classwork 6
 Tutorial Classwork 7
 Tutorial Classwork 8
 Tutorial Classwork 9
Assignments
 Exercise 1 (Topology) (Updated at 4/2/2018)
 Exercise 2 (Open and Closed Sets)
 Exercise 3 (Base of Topology)
 Exercise 4a (Continuity)
 Exercise 4b (Continuous Extension)
 Exercise 5 (Convergence)
 Exercise 6 (Complete and Baire category)
 Exercise 7 (Product Topology)
 Exercise 8 (Quotient Topology)
 Exercise 9a (Compactness)
 Exercise 9b (Compact Hasedorff Space)
 Exercise 10 (Connectedness)
 Exercise 11 (Homotopy)
 Exercise 12 (Fundamental group)
Quizzes and Exams
Solutions
 Solution of Tutorial Classwork 0
 Solution of Tutorial Classwork 1
 Remark for Tutorial 1
 Solution of Tutorial Classwork 2
 Solution of Tutorial Classwork 3
 Solution of Tutorial Classwork 4
 Solution of Tutorial Classwork 5
 Solution of Tutorial Classwork 6
 Solution of Tutorial Classwork 7
 Solution of Tutorial Classwork 8
 Solution of Tutorial Classwork 9
Assessment Policy Last updated: May 04, 2018 19:13:12