MATH3070  Introduction to Topology  2015/16
Announcement
 Special Office hours: (Cao) May 6 morning; (Au) May 10 afternoon.
 Exam on May 12
 Test Dates: Feb 4, March 24
 Test Venue: Fung King Hey Swire Hall 1
 Coverage of Test 2:
Continuous mappings
Sequences
Between closed sets, sequences, and continuity
Complete metric spaces
Nowhere dense and Baire Category
Product spaces
Quotient spaces  Coverage of Test 1:
Topology (metric included),
Open and closed sets,
Base and subbase (countability included).
General Information
Lecturer

Thomas Kwokkeung AU
 Office: LSB 213
 Tel: 3943 7981
 Email:
 Office Hours: By appointment
Teaching Assistant

Yalong Cao
 Office: AB1 505
 Tel: 3943 4298
 Email:
Time and Venue
 Lecture: Tue 14301615 at LSB LT3; Thu 15301615 at MMW 702
 Tutorial: Thu 14301515 at MMW 702
Course Description
See the file.
Textbooks
 Sheldon W. Davis. Topology. McGraw Hill.
 James R. Munkres. Topology. Prentice Hall.
References
 Thomas K. Au. An Introduction to Topology. Preprint Manuscript.
 M. A. Armstrong. Basic Topology. Springer Verlag.
 W. F. Basener. Topology and its applications. Wiley.
 G. F. Simmons. Introduction of Topology and Modern Analysis. McGraw Hill.
 J. L. Kelly. General Topology. Springer Verlag.
Preclass Notes
Lecture Notes
 Lecture Jan 12: Definition of Topology
 Notes about metric
 Lecture Jan 14: Topology and neigborhoods
 Lecture Jan 19: Open and Closed sets
 Lecture Jan 21: Base and Subbase
 Lecture Jan 26: Base Countability
 Lecture Jan 28: Continuity
 Lecture Feb 02: More Continuity
 Lecture Feb 16: Convergence
 Lecture Feb 18: Tietz Extension
 Lecture Feb 23: Completeness
 Lecture Feb 25: Continuous Extension
 Lecture Mar 01: Baire Category
 Lecture Mar 03: Finite Products
 Lecture Mar 08: Infinite Products
 Lecture Mar 10: Quotient spaces
 Lecture Mar 15: More Quotients
 Lecture Mar 17: Compact Introduction
 Lecture Mar 22: Compact, closed bounded
 Lecture Mar 29: Compact Hausdorff
 Lecture Mar 31: Locally compact
 Lecture Apr 05: Compact Equivalences
 Lecture Apr 05: Connected Intro
 Lecture Apr 07: Connected properties
 Lecture Apr 12: Connectedness
 Lecture Apr 12: Invariants
 Lecture Apr 14: Homotopgy
 Lecture Apr 19: Fundamental Group
 Lecture Apr 21: Examples of Fund'l Groups
Assignments
 Exercise 01: Topology
 Exercise 02: Open and Closed
 Exercise 03: Base and subbase
 Exercise 04: Continuity
 Exercise 05: Convergence
 Exercise 06: Completeness and Baire
 Exercise 07: Subspace and Finite Product
 Exercise 08: Products and Quotients
 Exercise 09a: Compact
 Exercise 09b: Compact T2
 Exercise 10: Connected
 Exercise 11: Homotopy (and Homotopy Equivalences)
 Exercise 12: Fundamental Group
Solutions
Last updated: May 08, 2016 12:14:10