Paul L. Bailey, Ph.D.
Category Theory 2019-2020
Category Summaries:
Category 21: Posets
Category 22: Equisets
Category 23: Graphs
Category 24: Metric Spaces
Category 25: Topological Spaces
Topic 21: Categories
Topic 22: Metric Spaces
Topic 23: Topological Spaces
Algebra Documents:
Topic I: Sets and Functions
Topic II: Collections
Topic III: Relations
Topic IV: Binary Operators
Topic V: Integers
Topic VI: Permutations
Topic VII: Algebraic Categories
Topic VIII: Groups (Comp)
Topic VIII: Groups (Abstract)
Topic XI: Group Actions
Topic XI: Semidirect Product
Topic XI: Cauchy's Theorem
Topic XI: Sylow's Theorem
Topic X: Ring Theory Worksheets
Topic X: Ring Theory Subset
Activity 1 - Solutions
Activity 2 - Solutions
Activity 4 - Solutions
Homework 1 - Solutions
Homework 2 - Solutions
Homework 3 - Solutions
Homework 4 - Solutions
Homework 5 - Solutions
Quiz 1 - Solutions
Exam 1 - Solutions
Exam 2 - Solutions
Practice Problems 21
Course Syllabus
Greek Letters
Logic and Set Summary
References:
Gallian Abstract Algebra 8th edition
Ross Elementary Analysis 2nd edition