November 2017
Intermediate to advanced
670 pages
17h 35m
English
Before moving forward with category theory, let's get familiar with the symbols of set theory:
|
Symbol |
Symbol name |
Meaning/definition |
Example |
|
{ } |
Set |
A collection of objects (also known as elements) |
A = {5,6,7,8}, B = {5,8,10} |
|
| |
Such that |
So that |
A = {x | x ∈ ℝ, x<0} |
|
A∩B |
Intersection |
Objects that belong to set A and set B |
A ∩ B = {5,8} |
|
A∪B |
Union |
Objects that belong to set A or set B |
A ∪ B = {5,6,7,8,10} |
|
A⊆B |
Subset |
A is a subset of B. Set A is included in set B |
{5,8,10} ⊆ {5,8,10} |
|
A⊂B |
Proper subset / Strict subset |
A is a subset of B, but A is not equal to B |
{5,8} ⊂ { 5,8,10} |
|
A⊄B |
Not subset |
Set A is not a subset of set B |
{8,15} ⊄ {8,10,25} |