MATH3070  Introduction to Topology  2014/15
Announcement
 Final Exam May 4, 13:3016:00, at NA Gym
 Test Dates: Jan 29, March 5, and March 26, all Thu tutorial+lecture
 Test location: Sino Building LT2, Chung Chi for all three tests
General Information
Lecturer

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

Yi ZHANG
 Office: AB1 505
 Tel: 3943 4298
 Email:
Time and Venue
 Lecture: Tue 14:3016:15 at LSB LT3; Thu 15:3016:15 at MMW 702
 Tutorial: Thu 14:30  15:15 at MMW 702
Course Description
Please see the pdf file of Course Description.
Textbooks
 James Munkres. Topology, Prentice Hall
 Sheldon Davis. Topology, McGraw Hill
 Thomas Au. An Introduction to Topology, Preprint Manuscript
References
 M. A. Armstrong. Basic Topology, Springer Verlag
 W. F. Basener. Topology and its Applications, Wiley
 G. F. Simmons. Introduction to Topology and Modern Analysis, McGraw Hill
 J. L. Kelley. General Topology, Springer Verlag
Preclass Notes
 Everything of Mathematical Analysis I, II, III
 Something about Algebraic Structures
 Empty set on cinematography
Lecture Notes
 Course Description
 Old notes of last year
 Lecture on Jan 6
 Lecture on Jan 8
 Lecture on Jan 13
 Lecture on Jan 15
 Lecture on Jan 20
 Lecture on Jan 22
 Lecture on Jan 27
 Lecture on Feb 3
 Lecture on Feb 10
 Lecture on Feb 12
 Lecture on Feb 17
 Lecture on Feb 26 Compactness Definition
 Lecture on March 3 Compact Hausdorff
 Lecture on March 8 Compact Equivalences
 Lecture on March 12 Connected Definition
 Lecture on March 17 Connected Components
 Lecture on March 19 Invariants
 Lecture on March 24 Homotopy
 Lecture on March 31 Homotopy Equivalences
 Lecture on April 2 Fundamental Group
 Lecture on April 9 Invariance of Pi_1
 Lecture on April 14 Circle and others
 Lecture on April 16 Fixed Point
Tutorial Notes
Assignments
 Preparatory exercises
 Exercises about def of topology (updated Jan 15)
 Exercises about open and closed (updated Jan 18)
 Exercises about base (updated Jan 18)
 Exercises about continuity
 Exercises about sequences
 Exercises about complete metric spaces
 Exercises about subspace, product, quotient
 Exercises about compactness
 Exercises about compact Hausdorff
 Exercises about connectedness
 Exercises about homotopy (updated April 8)
Assessment Scheme
Tutorial Participation or Credit  10%  
Test 1  13%  
Test 2  13%  
Test 3  13%  
Examination  51% 
Last updated: April 21, 2015 13:03:15