Welcome to Topology! For homework submission and grades, log into Moodle. If you need help, contact Prof. Wright.
Prof. Wright's office hours: Mon. 2–3pm, Tues. 9–10am, Wed. 12–1pm, Thurs. 10–11am, Fri. 1–2pm, and other times by appointment (in RMS 405)
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Thursday
September 10
September 10
Introduction, set theory, continuous functions
Do the following before next class:
- Complete the Introductory Survey, if you haven't done so already.
- Read the syllabus carefully and complete the Syllabus Quiz on Moodle before class on Tuesday.
- Read this review of set theory and logic.
- Read pages 1–14 in the Essential Topology textbook and complete the reading questions. Bring your completed reading questions to class on Tuesday.
- Optionally, take a look at Homework 1.
Tuesday
September 15
September 15
Continuity and open sets
Do the following before next class:
- Begin Homework 1, which is due next Tuesday, September 22.
- Read Sections 3.1 and 3.2, at least through Example 3.24, in the Essential Topology textbook and complete the reading questions. Bring your completed reading questions to class on Thursday.
Thursday
September 17
September 17
Topological spaces
Do the following before next class:
- To be announced...
Do the following before next class:
- To be announced...
Thursday
September 24
September 24
Bases
Do the following before next class:
- To be announced...
Tuesday
September 29
September 29
Connectedness
Homework 2
due at 11pm
due at 11pm
Do the following before next class:
- To be announced...
Thursday
October 1
October 1
Compactness
Do the following before next class:
- To be announced...
Tuesday
October 6
October 6
Hausdorff property
Homework 3
due at 11pm
due at 11pm
Do the following before next class:
- To be announced...
Thursday
October 8
October 8
Exam 1
Have a great fall break! No class October 13.
Thursday
October 15
October 15
Homeomorphisms
Do the following before next class:
- To be announced...
Tuesday
October 20
October 20
Disjoint unions and product spaces
Homework 4
due at 11pm
due at 11pm
Do the following before next class:
- To be announced...
Thursday
October 22
October 22
Quotient spaces
Do the following before next class:
- To be announced...
Tuesday
October 27
October 27
Quotient spaces and configuration spaces
Homework 5
due at 11pm
due at 11pm
Do the following before next class:
- To be announced...
Thursday
October 29
October 29
Homotopy
Do the following before next class:
- To be announced...
Tuesday
November 3
November 3
Homotopy
Homework 6
due at 11pm
due at 11pm
Do the following before next class:
- To be announced...
Thursday
November 5
November 5
Homotopy and the circle
Do the following before next class:
- To be announced...
Tuesday
November 10
November 10
Homotopy and the circle
Homework 7
due at 11pm
due at 11pm
Do the following before next class:
- To be announced...
Thursday
November 12
November 12
Exam 2
Do the following before next class:
- To be announced...
Tuesday
November 17
November 17
Simplices
Do the following before next class:
- To be announced...
Thursday
November 19
November 19
Simplicial complexes and Euler characteristic
Do the following before next class:
- To be announced...
Tuesday
November 24
November 24
Simplicial homology
There is no assignment over break.
Have a great Thanksgiving break! No class November 26.
Tuesday
December 1
December 1
Simplicial homology
Do the following before next class:
- To be announced...
Thursday
December 3
December 3
Computing homology
- To be announced...
Tuesday
December 8
December 8
Computing homology
Do the following before next class:
- To be announced...
Thursday
December 10
December 10
Simplicial complexes from data; Persistent homology
Do the following before next class:
- To be announced...
Tuesday
December 15
December 15
Persistent homology; Topological data analysis
We've made it to the end of the semester!
- To be announced...
Saturday
December 19
December 19
Final Exam 1:00 – 3:00pm
