# Point Set Topology Seminar, Summer 2012

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Coordinator: Prof. Wong Shiuchun (黄兆镇)

Email: scwong AT zju DOT edu DOT cn

Textbook: Lecture Notes, by Wong Shiuchun

## Schedule: 2012.06.25. - 2012.07.26. Monday and Thursday
Mornings, 9:00 - 12:00, Venue TBA

06.25. 1.集合与映射 2.基数 3.R 与 R^n 的结构, speaker: 黄兆镇

06.28. 4.度量空间, speaker:

07.2. 5.度量空间的序列与完备性, speaker:

07.5. 6.度量空间的连续映射, speaker:

07.9. 7.拓扑空间, Sections 4.1—4.8, speaker:

07.12. 8.连续映射, speaker:

07.16. 9.子空间，积空间和商空间, speaker:

07.19. 10.连通性, speaker:

07.23. 11.紧性, speaker:

07.26. 12.可数性公理和分离性公理, speaker:

If you want to participate in the seminar, please contact
the coordinator.

## Introduction

After set theory, point-set topology has become a basic
language in modern mathematics. With metric spaces as a guide, this seminar
will cover the basic concepts in topology that are widely used in analysis,
geometry, and algebraic topology.

There will be two speakers in each session.

Besides the reading and the presentations, it is important
that at least one-third of the exercises in the book should be worked out. You
may hand them to the coordinator for corrections.

## Confirmed Participants:

- Guo He(郭赫) 3110104775 AT ZJU DOT EDU DOT CN
- Chen Junjie(陈俊杰) 3110102415
AT ZJU DOT EDU DOT CN
- Lei Yuhuan(雷宇环) LEIYUHUAN01
AT QQ DOT COM
- Li Cong(李聪) XYXZZLXJ AT
126 DOT COM
- Luo Zhilin(罗之麟) ZHLN DOT L
AT LIVE DOT COM
- Zhang Yiming(张一鸣) 1021250608
AT QQ DOT COM
- Zhang Qidi(张启迪) 737042260 AT
QQ DOT COM
- Liu Yuantong(刘远通)
LIUTONG3246129 AT 163 DOT COM
- Chen Zijuan(陈子隽) SZZJC AT VIP
DOT QQ DOT COM
- Shi Jiasheng(施家晟)
THEWINDOWISOPEN AT YEAH AT NET
- Zhang Haojian(张健豪) 1159627981
AT QQ DOT COM
- Lu Jiejun(卢杰君) 289332094 AT
QQ DOT COM
- Xu Xilei(徐曦磊) ZJU DOT XUXILEI AT GMAIL DOT COM

## For Freshmen and New-comers

Objectives of the seminar

- To get acquainted with abstract ideas
and the abstract ways of thinking in mathematics.
- To learn how to express mathematical
ideas precisely and lucidly
- To learn how to self-study.
- To learn how to communicate
mathematically and exchange ideas with others.

On the presentations

1. Each presentation should be meticulously prepared, not
only by the speaker, but also by the audience (in order to understand the
talk).

2. Because of the time limit, you have to tailor the
contents. Focus on the most central and essential ideas and leave out the
secondary stuffs.

3. Definitions and theorems should always be stated
clearly, precisely, and concisely.

4. Do not try to give all the details of a proof unless it
involves useful techniques or it is very interesting. Just sketch the main line
of thought.

5. Be prepared to answer and discuss any question posed by
the audience.

6. For effective learning, English should be used as much
as possible, at least for the blackboard writing.

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