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What (who) is simplicial homotopy - definition
Simplicial homotopy
ANALOG OF A HOMOTOPY BETWEEN TOPOLOGICAL SPACES FOR SIMPLICIAL SETS
Draft:Simplicial homotopy
In algebraic topology, a simplicial homotopypg 23 is an analog of a homotopy between topological spaces for simplicial sets. If
Simplicial complex
A GEOMETRICAL OBJECT (SET COMPOSED OF POINTS, LINE SEGMENTS, TRIANGLES, AND THEIR N-DIMENSIONAL COUNTERPART) USEFUL TO DESCRIBE CERTAIN TOPOLOGICAL SPACES
Simplicial complexes; Pure simplicial complex; A Simplicial complex; A Simplicial Complex; Simplicial Complex; The simplicial complex; The Simplicial complex; The Simplicial Complex; The simplicial Complex; Underlying Space; Draft:Simplicial complices; Facet of a simplicial complex; Geometric simplicial complex; Support (simplicial complex); Closure (simplicial complex)
In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their n-dimensional counterparts (see illustration). Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory.
Homotopy
![isotopy]].](https://commons.wikimedia.org/wiki/Special:FilePath/Mug and Torus morph.gif?width=200 "isotopy]].")
CONTINUOUS DEFORMATION BETWEEN TWO CONTINUOUS MAPS
Homotopic; Homotopy equivalent; Homotopy equivalence; Homotopy invariant; Homotopy class; Null-homotopic; Homotopy type; Nullhomotopic; Homotopy invariance; Homotopy of maps; Homotopically equivalent; Homotopic maps; Homotopy of paths; Homotopical; Homotopy classes; Null-homotopy; Null homotopy; Nullhomotopic map; Null homotopic; Relative homotopy; Homotopy retract; Continuous deformation; Relative homotopy class; Homotopy-equivalent; Homotopy extension and lifting property; Isotopy (topology); Homotopies
In topology, a branch of mathematics, two continuous functions from one topological space to another are called homotopic (from "same, similar" and "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy (, ; , ) between the two functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology.
