Book contents
- Frontmatter
- Dedication
- Contents
- Prologue
- Part One Building up to Categories
- Interlude A Tour of Math
- 9 Examples we’ve already seen, secretly
- 10 Ordered sets
- 11 Small mathematical structures
- 12 Sets and functions
- 13 Large worlds of mathematical structures
- Part Two Doing Category Theory
- Epilogue Thinking categorically
- Appendices
- Glossary
- Further Reading
- Acknowledgements
- Index
9 - Examples we’ve already seen, secretly
from Interlude - A Tour of Math
Published online by Cambridge University Press: 13 October 2022
- Frontmatter
- Dedication
- Contents
- Prologue
- Part One Building up to Categories
- Interlude A Tour of Math
- 9 Examples we’ve already seen, secretly
- 10 Ordered sets
- 11 Small mathematical structures
- 12 Sets and functions
- 13 Large worlds of mathematical structures
- Part Two Doing Category Theory
- Epilogue Thinking categorically
- Appendices
- Glossary
- Further Reading
- Acknowledgements
- Index
Summary
This chapter is the beginning of the interlude, in which we give a tour of various parts of mathematics that are often taken as prerequisites for studying category theory. Here, instead, we will introduce them as examples of categories, in a series of shorter chapters. We begin in this chapter by revisiting some of the structures from the first part of the book and showing how they are all in fact categories. This includes symmetries, equivalence relations, diagrams of factors, and the natural numbers.
- Type
- Chapter
- Information
- The Joy of AbstractionAn Exploration of Math, Category Theory, and Life, pp. 111 - 116Publisher: Cambridge University PressPrint publication year: 2022