simplicial homology


Also found in: Wikipedia.

simplicial homology

[sim′plish·əl hə′mäl·ə·jē]
(mathematics)
A homology for a topological space where the n th group reflects how the space may be filled out by n-dimensional simplicial complexes and detects the presence of analogs of n-dimensional holes.
References in periodicals archive ?
n] on the unique nonvanishing reduced simplicial homology [[?
2) and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is the reduced simplicial homology of the order complex of the open interval ([?
Prasolov starts with the definition of simplicial homology and cohomology and backs this up with examples and applications, describes calculations, the Euler characteristic and the Lefschetz theorem.