MATH3070 - Introduction to Topology - 2014/15

Announcement

• Final Exam May 4, 13:30--16:00, 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

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General Information

Lecturer

• Thomas Kwok-keung 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 14:30-16:15 at LSB LT3; Thu 15:30-16:15 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

Pre-class 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

• 20150115
• 20150122
• 20150205
• 20150226
• 20150212
• 20150312
• 20150319
• 20150402
• 20150409
• 20150416

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%

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Last updated: April 21, 2015 13:03:15