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

You Tube Playlist I try to post each Lecture here.

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

Basic Topology from Before the year 2022
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.

Course Planner can write in homework numbers as course unfolds.

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

You Tube Playlist I try to post each Lecture here soon after it is given

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

Homework will be given from Manetti and other relevant sources. I intend to collect and grade the homework weekly (600pts). Two midterms (200pts) and final exam (200pts) will also be given.

The background picture is based on a picture I saw at this website
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Last Modified: 9-29-2022