In mathematics, a simplicial set is a construction in categorical homotopy theory which is a purely algebraic model of the notion of a "well-behaved" topological space. Historically, this model arose from earlier work in combinatorial topology and in particular from the notion of simplicial complexes.
Read more about Simplicial Set: Motivation, Formal Definition, Face and Degeneracy Maps, The Standard n-simplex and The Simplex Category, Geometric Realization, Singular Set For A Space, Homotopy Theory of Simplicial Sets, Simplicial Objects
Famous quotes containing the word set:
“1st Witch. When shall we three meet again?
In thunder, lightning, or in rain?
2nd Witch. When the hurly-burly’s done,
When the battle’s lost and won.
3rd Witch. That will be ere set of sun.
1st Witch. Where the place?
2nd Witch. Upon the heath.
3rd Witch. There to meet with Macbeth.”
—William Shakespeare (1564–1616)