Math 4225, Topology

Math 4225: Topology

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Instructor:: Maosheng Xiong : mamsxiong AT ust DOT hk
Office: 3477 Tel: 2358-7456; Office hours: Friday 20:00--20:50, via Zoom meeting ID 957 406 679. Please join if you have any questions, or make an appointment for another time. Or simply stop by my office anytime during weekdays when I am available.

TA:: Jiazhou Xiao, jxiaoal@connect.ust.hk; Tutorial: Wednesday, 15:00--15:50, Rm 1511.

Lecture:: Mon: 15:00--16:20pm, Rm 2463; Fri: 10:30--11:50am, Rm 2463

Course Description:: 3 credit units.; Prerequisite: Math 2033/Math 2043; Topics: Metric space, topology, continuous map, basic topological concepts and topological properties, graph, Euler number, CW-complex, classification of surfaces, etc.

Textbook: required: Introduction to Topology, Theory and Applications, by Min Yan, Higher Education Press, HEP Studies in Modern Mathematics, Beijing, 2010.

Other References:: 1. Topology, by James Munkres, Second Edition, Pearson New Internationjal Edition, Pearson Education Limited 2014.; 2. Lecture notes on elementary topology and geometry, by I. M. Singer and J. A. Thorpe, Undergraduate Texts in Mathematics, Springer, 1967.; 3. Basic topology, by M. A. Armstrong, Undergraduate Texts in Mathematics, Springer, 1993.

Suggestions to students:: 1. Come to class on time.; 2. Attendances are not mandatory but strongly recommended.; 3. Read the textbook and do exercises before and after classes.; 4. Turn off cell phones and keep quiet in class.; 5. If you have to go to bathroom or leave early for some reason, just go quietly without interrupting others.

Grading Policy: no extra credit.: Midterm Exam (25%) - 80 minutes, Date: TBA; Final Exam (55%) - 160 minutes, Date: TBA; Homework (20%) : A weekly Homework will be assigned, usually on Monday (or sometimes might be one or two days late) and is always due on the next Monday at 5pm (or the next working day if Monday is a holiday). You either send your homework via email to the TA or drop off the homework to the Mailbox in the math department before the deadline. No late homework will be accepted.

Academic Integrity:: The University places a strong emphasis on academic integrity. Please check the website http://www.ust.hk/provost/integrity for regulations. In any case, no cheating will be tolerated. Honesty is the best policy. Talk to me if you have trouble or are worried about grades. Exceptions may be made, but you have to talk to me early!