David Dumas

University of Illinois at Chicago

Spring 2019

Textbook | Topology, 2ed by James R. Munkres. (Prentice Hall, 2000)UIC library / Google books / Amazon |
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Lectures | MWF at 1pm in 309 Taft Hall |

Instructor email | david@dumas.io |

Instructor office hours | To be announced |

CRN | 39509 (undergraduate), 39510 (graduate) |

We will cover chapters 2–4 in the textbook and selected topics from chapters 5–8.

- The course syllabus will be posted here shortly.

Date/time | Course grade fraction | |

Homework | Most Mondays (see list below) | 50% |
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In-class midterm | Wed Mar 6 | 20% |

Final Exam | Mon May 6 | 30% |

**Homework 0 due Friday January 18**: Read the syllabus- Homework 1 will be due on Monday January 28

Typeset solutions are not required. If writing solutions by hand, please make sure they are legible. Staple homework if it spans several sheets of paper. Write your name and the assignment number (e.g. "Homework 1") at the top of the first page.

Many of the homework problems are assigned directly from the primary textbook (Munkres, 2ed).

- Lecture 1 (Mon Jan 14): Topologies and topological spaces (§13)
- Lecture 2 (Wed Jan 16): The topology determined by a basis (§13)
- Lecture 3 (Fri Jan 18): Recognizing a basis of a topology (§13)

*Topology*by Klaus Jänich, Springer, 1984.- Chapters 1, 3, 4, 6, 8, and 10 contain material we will cover in math 445.

*Introduction to Topology*, 2ed by Theodore Gamelin and Robert Greene, Dover, 1999.- This book is terse but clearly written. It begins by discussing the topology of metric spaces in some detail, introducing general topological spaces a bit later.
- Chapters 1 and 2 contain material we will cover in math 445.