Simplicial Sets - Sage Code

Sage is mathematical software, it implements simplicial sets as follows:

Sage Code:

AbstractSimplex

AbstractSimplex represents one simplex where the vertices are numbered sequentially from 1 unless there are degeneracies specified.

SimplicialSet

sage: from sage.topology.simplicial_set import AbstractSimplex, SimplicialSet
            sage: v = AbstractSimplex(0)
            sage: w = AbstractSimplex(0)
            sage: e = AbstractSimplex(1)
            sage: X = SimplicialSet({e: (v, v)})
            sage: Y = SimplicialSet({e: (w, w)})
This is a hierarchy:

SimplicialSet_finite inherits from SimplicialSet_arbitrary and GenericCellComplex

SimplicialSet_arbitrary inherits from Parent which makes them containers.

Other Sage Code

 


metadata block
see also:

See Sage:

Correspondence about this page

Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

flag flag flag flag flag flag Mathematics++: Selected Topics Beyond the Basic Courses (Student Mathematical Library) Kantor, Ida.

Chapters:

  1. Measure
  2. High Dimensional Geometry
  3. Fourier Analysis
  4. Representations of Finite Groups
  5. Polynomials
  6. Topology

Chapter 6 - Topology. Contains a relatively gentle introduction to homology.

 

This site may have errors. Don't use for critical systems.

Copyright (c) 1998-2021 Martin John Baker - All rights reserved - privacy policy.