> For the complete documentation index, see [llms.txt](https://mandober.gitbook.io/math-debrief/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://mandober.gitbook.io/math-debrief/900-index/acc-mathematical-objects.md).

# List of mathematical objects

<https://en.wikipedia.org/wiki/Mathematical_object> <https://en.wikipedia.org/wiki/Category:Mathematical_objects>

List of mathematical objects

* Set theory
  * set
  * set partition
  * ordered pair
  * Carthesian product
* Relation theory
  * relation
* Order theory
  * order
* Function theory
  * function
  * injective function
  * surjective function
  * bijective function
  * inverse function
  * total function
  * partial function
* Combinatorics
  * permutation
  * combination
  * derangement
* Geometry
  * point
  * line
  * line segment
  * polygons
    * triangle
    * square
    * pentagon
    * hexagons
  * circle
  * ellipse
  * parabola
  * hyperbola
  * polyhedra
    * tetrahedron
    * cube
    * octahedron
    * dodecahedron
    * icosahedron
  * sphere
  * ellipsoid
  * paraboloid
  * hyperboloid
  * cylinder
  * cone
* Graph theory
  * node
  * edge
  * graph
  * tree
* Topology
  * topological space
  * manifold
* Linear algebra
  * scalar
  * vector
  * matrix
  * tensor
* Abstract algebra
  * group
  * ring
  * module
  * field
  * vector space
  * group-theoretic lattice
* Logic
  * proposition
  * hypothesis
  * conclusion
  * antecedent
  * subsequent
  * sequent
* Proof theory
  * theorem
  * theory

And a lot more

* number
* expression
* geometric shape
* transformation (of other mathematical objects)
* spaces