-
simplices to form a
simplicial complex. The
geometric simplex and
simplicial complex should not be
confused with the
abstract simplicial complex, in which...
- In mathematics, a
simplicial complex is a
structured set
composed of points, line segments, triangles, and
their n-dimensional counterparts,
called simplices...
- In combinatorics, an
abstract simplicial complex (ASC),
often called an
abstract complex or just a complex, is a
family of sets that is
closed under taking...
- In
algebraic topology,
simplicial homology is the
sequence of
homology groups of a
simplicial complex. It
formalizes the idea of the
number of
holes of...
- mathematics, a
simplicial set is a
sequence of sets with
internal order structure (abstract simplices) and maps
between them.
Simplicial sets are higher-dimensional...
-
spaces often admit a
model category structure, such as the
category of
simplicial sets.
Another model category is the
category of
chain complexes of R-modules...
- In geometry, a
simplicial polytope is a
polytope whose facets are all simplices. For example, a
simplicial polyhedron in
three dimensions contains only...
- mathematics,
triangulation describes the
replacement of
topological spaces with
simplicial complexes by the
choice of an
appropriate homeomorphism. A
space that...
- In mathematics, the
simplicial approximation theorem is a
foundational result for
algebraic topology,
guaranteeing that
continuous mappings can be (by...
- combinatorics, a
simplicial (or combinatorial) d-sphere is a
simplicial complex homeomorphic to the d-dimensional sphere. Some
simplicial spheres arise as...
