In Fall 2022 I am teaching Topology online using Manetti's text. The videos are posted in the following playlist:

I intend to scan pdfs of the notes I read and write in the above lectures. They should be posted here:

- Lecture 1: what is topology? based on Chapter 1 of Manetti
- Lecture 2: Properties of Sets based on Chapter 2 of Manetti
- Lecture 3: building a bijection based on Chapter 2 of Manetti
- Lecture 4: definition of topology based on Chapter 3 of Manetti
- Lecture 5: on neighbourhoods, interior, closure and such based on Chapter 3 of Manetti
- Lecture 6: continuous maps on topological spaces based on Chapter 3 of Manetti
- Lecture 7: metric spaces based on Chapter 3 of Manetti
- Lecture 8: subspace topology and topological immersions based on Chapter 3 of Manetti
- Lecture 9: product topology based on Chapter 3 of Manetti
- Lecture 10: Hausdorff Space based on Chapter 3 of Manetti
- Lecture 11: (missing pdf) based on Chapter 4(?) of Manetti
- Lecture 12: Connected Components based on Chapter 4 of Manetti
- Lecture 13: Covers based on Chapter 4 of Manetti
- Lecture 14: Compact Spaces based on Chapter 4 of Manetti
- Lecture 15: Wallace's Theorem based on Chapter 4 of Manetti
- Lecture 16: Topological Groups based on Chapter 4 of Manetti
- Lecture 17: Exhaustion by Compact Sets based on Chapter 4 of Manetti
- Lecture 18: Quotient Topology based on Chapter 5 of Manetti
- Lecture 19: Projective Space based on Chapter 5 of Manetti
- Lecture 20: Sequences and Nets based on Chapter 6 of Manetti
- Lecture 21: Topological Manifolds, Normal Spaces, Separation Axioms based on Chapter 7 of Manetti
- Lecture 22: Homotopy and the Fundamental Group based on Chapter 10 of Manetti

In the Spring 2016 semester I hope to offer the essential point-set topology as a 2hr course which typically meets on W-F from 3:30-5:00pm.

In the interest of helping the self-study of future students we'll record our meetings at:

Our goal in this course is to study the topics in point-set topology which are woven throughout the fabric of modern mathematics. Ideally this course will help undergraduates better understand topological arguments within their later graduate course work. My plan is to follow Manetti's Topology text. We'll not cover some of the later chapters and I may utilize some other texts if we need additional examples or a different proof etc.

- W: 1-20: Geometrical Introduction to Topology
- F: 1-22: Sets
- W: 1-27: Topological Structures
- F: 1-29: Topological Structures
- W: 2-3: Topological Structures
- F: 2-5: Connectedness and Compactness
- W: 2-10: Connectedness and Compactness
- F: 2-12: Connectedness and Compactness
- W: 2-17: Connectedness and Compactness
- F: 2-19: Topological Quotients
- W: 2-24: Topological Quotients
- F: 2-26: Sequences
- W: 3-2: Sequences
- F: 3-4: Sequences
- W: 3-9: Sequences
- F: 3-11: Manifolds, Infinite Products, Paracompactness
- W: 3-23: Manifolds, Infinite Products, Paracompactness
- F: 3-25: Manifolds, Infinite Products, Paracompactness
- F: 4-1: additional topics
- F: 4-8: additional topics
- W: 4-13: additional topics
- F: 4-15: additional topics
- W: 4-20: additional topics
- F: 4-22: additional topics
- W: 4-27: additional topics

The background picture is based on a picture I saw at this website

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Last Modified: 5-13-2024