simplicial approximation
Let and be simplicial complexes and be a continuous function. A simplicial mapping which is homotopic to is called a simplicial approximation of .
For example, suppose that is the closure of an -simplex and is a vertex of . Let be a continuous map of to where is some simplicial complex. Then the map that sends all of to is a simplicial approximation of .
Title | simplicial approximation |
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Canonical name | SimplicialApproximation |
Date of creation | 2013-03-22 16:54:24 |
Last modified on | 2013-03-22 16:54:24 |
Owner | Mathprof (13753) |
Last modified by | Mathprof (13753) |
Numerical id | 6 |
Author | Mathprof (13753) |
Entry type | Definition |
Classification | msc 55U10 |