## MA 351: Introduction to Topology

Kate Ponto
Fall 2022

### Announcements

The textbook for this course will be Topology through inquiry by Starbird and Su. Both hard cover and electronic versions available. The electronic version is available through the MAA website.

A draft copy of the
Syllabus and Presentation and Portfolio Guidelines.

Class portfolio template, Overleaf's introduction to Latex, Detexify

Sometimes you might need style suggestions when trying to write up your proofs. There are many guides that might help. (I'm including several because you will probably all have different preferences!)
Elements of Style by D. C. Ernst
How to write proofs: a quick guide by Eugenia Cheng
Chapter 3 of Bridge To Higher Mathematics, by Sam Vandervelde
Guidelines for good mathematical writing by Francis Su

### Homework

Date Due Expected Discussion
and Daily Homework to turn in
Actual Discussion The future
8/241.3, 1.4, 1.5, 1.6, 1.71.3, 1.4, 1.5, 1.6, 1.7
8/261.8, 1.9, 1.10, 1.111.8, 1.9Start chapter 2
8/291.10, 1.11, 1.12, 1.131.10, 1.112.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7
8/31 1.12, 1.13, 2.1, 2.2, 2.3, 2.4 2.1, 2.2, 2.3 2.5, 2.6, 2.7, 2.8, 2.9, 2.10, 2.11
9/2 2.4, 2.5, 2.6, 2.82.4, 2.5, 2.6 2.9, 2.10, 2.11, 2.12, 2.13, 2.14, 2.15, 2.16, 2.17, 2.18
9/7 2.8, 2.9, 2.10, 2.11, 2.12 2.8, 2.9, 2.10, 2.11 2.13, 2.14, 2.15, 2.16, 2.17, 2.18, 2.19, 2.20, 2.21
9/9 2.12, 2.13, 2.14, 2.15, 2.162.12, 2.13 2.17, 2.18, 2.19, 2.20, 2.21, 2.22, 2.23, 3.1, 3.2, 3.3, 34, 3.5, 3.6
9/12 2.14, 2.15, 2.16, 2.17, 2.182.14, 2.15, 2.16, 2.17, 2.18 2.19, 2.20, 2.21, 2.22, 2.23, 3.1, 3.2, 3.3, 34, 3.5, 3.6, 3.7, 3.8, 3.11
9/14 2.19, 2.20, 2.21, 2.22, 2.23 2.19, 2.20, 2.21, 2.22 3.1, 3.2, 3.3, 34, 3.5, 3.6, 3.7, 3.8, 3.11, 3.12, 3.18, 3.25, 3.26, 3.27, 3.28
9/19 2.23, 3.1, 3.2, 3.3, 3.4 2.23, 3.1 3.5, 3.6, 3.7, 3.8, 3.11, 3.12, 3.18, 3.25, 3.26, 3.27, 3.28, 3.29, 3.30, 3.31 (see page 46), 3.35, 3.37
9/21 3.2, 3.3, 3.4, 3.5, 3.6 3.2 3.7, 3.8, 3.11, 3.12, 3.18, 3.25, 3.26, 3.27, 3.28, 3.29, 3.30, 3.31 (see page 46), 3.35, 3.37
9/23 3.3, 3.4, 3.5, 3.6, 3.7 3.3, 3.4, 3.5, 3.6 3.8, 3.11, 3.12, 3.18, 3.25, 3.26, 3.27, 3.28, 3.29, 3.30, 3.31 (see page 46), 3.35, 3.37
9/26 3.7, 3.8, 3.11, 3.12, 3.18 3.7, 3.8, 3.11, 3.12, 3.18! 3.25, 3.26, 3.27, 3.28, 3.29, 3.30, 3.31 (see page 46), 3.35, 3.37
9/28 3.25, 3.26, 3.27, 3.28, 3.29 3.25, 3.26, 3.27, 3.28 3.30, 3.31 (see page 46), 3.35, 3.37, 4.1, 4.2, 4.3, 4.5, 4.7, 4.8, 4.9, 4.13(1-8, 11, 12), 4.16, 4.17
9/30 3.29, 3.30, 3.31 (see page 46), 3.35, 3.37 3.29, 3.30, 3.31 (see page 46) 4.1, 4.2, 4.3, 4.5, 4.7, 4.8, 4.9, 4.13(1-8, 11, 12), 4.16, 4.17, 5.1, 5.2, 5.3
10/3 3.35, 3.37, 4.1, 4.2, 4.3, 4.5 3.35, 3.37 4.7, 4.8, 4.9, 4.13(1-8, 11, 12), 4.16, 4.17, 5.1, 5.2, 5.3, 6.1, 6.2, 6.3, 6.5, 6.6, 6.7
10/5 4.1, 4.2, 4.3, 4.5, 4.7, 4.8 4.1, 4.2, 4.3 4.9, 4.13(1-8, 11, 12), 4.16, 4.17, 5.1, 5.2, 5.3, 6.1, 6.2, 6.3, 6.5, 6.6, 6.7
10/7 4.5, 4.7, 4.8 4.5, 4.7 4.9, 4.13(1-8, 11, 12), 4.16, 4.17, 5.1, 5.2, 5.3, 6.1, 6.2, 6.3, 6.5, 6.6, 6.7
10/10 4.8, 4.9, 4.13(1-8, 11, 12), 4.16 4.8, 4.9 4.17, 5.1, 5.2, 5.3, 6.1, 6.2, 6.3, 6.5, 6.6, 6.7, 6.8, 6.9, 6.14, 6.15, 6.17, 6.18, 6.19, 6.20
10/12 4.13(1-8, 11, 12), 4.16, 4.17, 5.1 4.13(1-8, 11, 12) 5.2, 5.3, 6.1, 6.2, 6.3, 6.5, 6.6, 6.7, 6.8, 6.9, 6.14, 6.15, 6.17, 6.18, 6.19, 6.20
10/14 4.16, 4.17, 5.1, 5.2 4.16, 4.17 5.3, 6.1, 6.2, 6.3, 6.5, 6.6, 6.7, 6.8, 6.9, 6.14, 6.15, 6.17, 6.18, 6.19, 6.20
10/17 5.1, 5.2, 5.3, 6.1 5.1, 5.2, 5.3, 6.1! 6.2, 6.3, 6.5, 6.6, 6.7, 6.8, 6.9, 6.14 (You might want to use the nested intervals theorem - see the class portfolio), 6.15, 6.17, 6.18, 6.19, 6.20, 7.1, 7.2, 7.3, 7.4
10/19 6.2, 6.3, 6.5, 6.6 6.2, 6.3 6.7, 6.8, 6.9, 6.14 (You might want to use the nested intervals theorem - see the class portfolio), 6.15, 6.17, 6.18, 6.19, 6.20, 7.1, 7.2, 7.3, 7.4
10/21 6.5, 6.6, 6.7, 6.8 6.5, 6.6, 6.7 6.9, 6.14 (You might want to use the nested intervals theorem - see the class portfolio), 6.15, 6.17, 6.18, 6.19, 6.20, 7.1, 7.2, 7.3, 7.4
10/26 6.8, 6.9, 6.14 (You might want to use the nested intervals theorem - see the class portfolio), 6.15 6.8, 6.9, 6.14, 6.15 6.18, 6.19, 6.20, 7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.9, 7.10
10/286.18, 6.19, 6.20, 7.1 6.18, 6.19 7.2, 7.3, 7.4, 7.5, 7.7, 7.9, 7.10, 7.15, 7.18, 7.19, 7.20, 7.22, 7.24
10/31 6.20, 7.1, 7.2, 7.36.20 7.4, 7.5, 7.7, 7.9, 7.10, 7.15, 7.18, 7.19, 7.20, 7.22, 7.24
11/2 7.1, 7.2, 7.3, 7.4, 7.57.1, 7.2, 7.3, 7.4 7.7, 7.9, 7.10, 7.15, 7.18, 7.19, 7.20, 7.22, 7.24
11/4 7.5, 7.7, 7.9, 7.10, 7.15 7.5, 7.7, 7.9, 7.10 7.18, 7.19, 7.20, 7.22, 7.24, 7.26 (see this link for the definition of an equivalence relation), 7.32, 7.35, 7.36
11/7 7.15, 7.18, 7.19, 7.20, 7.22 7.15, 7.18, 7.19 7.24, 7.26 (see this link for the definition of an equivalence relation), 7.32, 7.35, 7.36, 7.43, 7.44, 7.45, 7.46, 7.47
11/9 7.20, 7.22, 7.24, 7.26 (see this link for the definition of an equivalence relation), 7.32 7.20, 7.22, 7.24, 7.26 7.35, 7.36, 7.43, 7.44, 7.45, 7.46, 7.47, 8.1, 8.2, 8.3, 8.4
11/11 7.32, 7.35, 7.36, 7.43 7.32, 7.35, 7.36 7.44, 7.45, 7.46, 7.47, 8.1, 8.2, 8.3, 8.4, 8.6, 8.8, 8.9, 8.10, 8.11
11/14 7.43, 7.44, 7.45, 7.46, 7.47 7.43, 7.44, 7.45, 7.46, 7.47 ! 8.1, 8.2, 8.3 (You might want to use the least uppser bound property - see the class portfolio) 8.4, 8.6, 8.8, 8.9, 8.10, 8.11
11/16 8.1, 8.2, 8.3 (You might want to use the least uppser bound property - see the class portfolio) 8.4most of 8.1.... 8.6, 8.8, 8.9, 8.10, 8.11
11/18 8.1, 8.2, 8.3 (You might want to use the least uppser bound property - see the class portfolio) 8.48.1, 8.2, 8.3 8.6, 8.8, 8.9, 8.10, 8.11, 9.1, 9.2, 9.3, 9.7, 9.8
11/21 8.4, 8.6, 8.8, 8.9 8.4, 8.6 8.10, 8.11, 9.1, 9.2, 9.3, 9.7, 9.8
11/28 8.8, 8.9, 8.10, 8.11 8.8 9.1, 9.2, 9.3, 9.7, 9.8, 9.19
11/30 8.9, 8.10, 8.11, 9.1 8.9, 8.10, 8.11 9.2, 9.3, 9.7, 9.8, 9.19
12/2 9.1, 9.2, 9.3 9.1, 9.2 9.7, 9.8, 9.19
12/5 9.3, 9.7, 9.8 9.3, 9.7 9.19
12/7 9.8, 9.19, 9.4 9.8, 9.19

### Portfolio

Date Due Problem Student