MATH3070  Introduction to Topology  2017/18
Announcement
 (4/2/2018) Please note that Ex1)Q9) has been updated.
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
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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: April 18, 2018 20:08:34