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Math 441: Topology

Lectures MWF 10:50–11:50 am, at 102 Dempsey Hall.

Office hours: Monday 12:202:20 pm, at 102 Dempsey Hall.

Canvas site: https://canvas.uw.edu/courses/1729952 (only to host grades)

Textbook: Topology, by James Munkres, Second edition.
Schedule and assignments

Homework assignments are due by 10:30 am on the date by which they are posted (table below).

Upload your homework to Gradescope (link on Canvas).

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  Pathconnectedness 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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