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Math 441: Topology
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Lectures MWF 10:50–11:50 am, at 102 Dempsey Hall.
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Office hours: Monday 12:20-2:20 pm, at 102 Dempsey Hall.
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Canvas site: https://canvas.uw.edu/courses/1729952 (only to host grades)
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Textbook: Topology, by James Munkres, Second edition.
Schedule and assignments
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Homework assignments are due by 10:30 am on the date by which they are posted (table below).
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Upload your homework to Gradescope (link on Canvas).
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Here are the Homework Guidelines
Lect N | Dates | Topics | Lec Notes | HW(pdf) | Recordings | HW (tex) |
|---|---|---|---|---|---|---|
1 | Jun 17 | Crash course on sets, functions and relations | Lec01 | Recording01 | ||
Jun 19 | Juneteenth (No class) | HW00 | ||||
2 | Jun 21 | Introduction, topological spaces (§12) | Lec02 | Recording02 | ||
3 | Jun 24 | Bases and subbases (§13) | Lec03 | Recording03 | ||
4 | Jun 26 | Bases and subbases (§13). The box topology (§15, 19) | Lec04 | HW01 | Recording04 | HW01 tex |
5 | Jun 28 | The box and product topologies (§15, 19) | Lec05 | Recording05 | ||
6 | July 1 | Continuous functions (§18) | Lec06 | Recording06 | ||
7 | July 3 | More on continuous functions (§18) | Lec07 | HW02 | Recording07 | HW02 tex |
8 | July 5 | Metric spaces (§20) | Lec08 | Recording08 | ||
9 | July 8 | More on metric spaces (§20) | Lec09 | Recording09 | ||
10 | July 10 | Sequences and convergence (§17) | Lec10 | HW03 | Recording10 | HW03 tex |
11 | July 12 | Hausdorff spaces, first countable spaces (§17, 21) | Lec11 | Recording11 | ||
12 | July 15 | The quotient topology (§22) | Lec12 | Recording12 | ||
13 | July 17 | More on the quotient topology (§22) | Lec13 | HW04 | Recording13 | HW04 tex |
14 | July 19 | Quotient spaces: examples (§22) | Lec14 | Recording14 | ||
15 | July 22 | Practice midterm | PMidterm | Solutions | ||
16 | July 24 | Midterm | ||||
17 | July 26 | Connected spaces (§23) | Lec17 | Recording17 | ||
18 | July 29 | Connectedness in the real line (§24) | Lec18 | Recording18 | ||
19 | July 31 | Path-connectedness Connected spaces (§24) | Lec19 | HW05 | Recording19 | HW05 tex |
20 | Aug 2 | Compact spaces (§26) | Lec20 | Recording20 | ||
21 | Aug 5 | Compact spaces continued (§26) | Lec21 | Recording21 | ||
22 | Aug 7 | Compactness in the real line (§27) | Lec22 | HW06 | Recording22 | HW06 tex |
23 | Aug 9 | Compact subspaces of Euclidean spaces. Compact metric spaces (§27) | Lec23 | Recording23 | ||
24 | Aug 12 | Compact metric spaces (§27) | Lec24 | Recording24 | ||
25 | Aug 14 | Practice for the final exam | PFinalSols | HW07 | HW07 tex | |
26 | Aug 16 | Final Exam |
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