Topology is the study of *topological spaces*: point
sets endowed with "nearness" information. The purpose of this
course is to develop our intuition about topological spaces as
we study key examples, learn various constructions and prove
fundamental theorems of topology.

This course, held *Fall 2022* at *Cornell
University*, will be divided into two parts: the first part
will cover the basics of general point-set topology and the
second part will introduce cellular complexes and algebraic
topology.

- Instructor: Nima Hoda
- Email: nima.hoda@cornell.edu
- Office hours: Tuesdays and Wednesdays, 3:30pm – 4:30pm in 402 Malott Hall.
- TA: Hazel Brenner
- Email: hnb29@cornell.edu
- Office hours: Wednesday, 11:00am – 12:00pm and Thursday, 1:00pm – 2:00pm in 218 Malott Hall.
- Textbook: Topology (2nd Edition) by James R. Munkres
- Lectures: Tuesdays and Thursdays, 11:25am – 12:40pm in 224 Malott Hall, Cornell University.

- 30%: homework
- 15%: prelim exam #1: in-class on Tue. Sep. 20
- 15%: prelim exam #2: in-class on Tue. Nov. 1
- 40%: final exam

The plan for the first part of the course is to cover most of the material from Chapter 2 to Chapter 5 of the textbook. In the second part, we will cover most of Chapter 9 and Chapter 11 and then cover some selection of topics from chapters 12, 13 and 14.

The textbook sections indicated in the schedule below will be modified and updated as we go along.

Week | Lectures | Textbook sections | |
---|---|---|---|

Tue. | Thur. | ||

1 | Aug. 23 | Aug. 25 | §12 – §14 |

2 | Aug. 30 | Sep. 1 | §15 – §16 |

3 | Sep. 6 | Sep. 8 | §17 – §18 |

4 | Sep. 13 | Sep. 15 | §19 – §20 |

5 | Sep. 20* | Sep. 22 | §21 – §22 |

6 | Sep. 27 | Sep. 29 | §23 – §25 |

7 | Oct. 4 | Oct. 6 | §26 – §28 |

8 | Fall break | Oct. 13 | §29 – §30 |

9 | Oct. 18 | Oct. 20 | §31 – §33 |

10 | Oct. 25 | Oct. 27 | §34 – §37 |

11 | Nov. 1* | Nov. 3 | |

12 | Nov. 8 | Nov. 10 | |

13 | Nov. 15 | Nov. 17 | |

14 | Nov. 22 | Thanksgiving | |

15 | Nov. 29 | Dec. 1 |

* In-class preliminary exam on this date.

Homework assignments will be posted to the MATH 4530 gradescope.