Examples of 'simplicial' in a sentence
Meaning of "simplicial"
Simplicial (adjective): Relating to or characteristic of simplicial complex, a mathematical construct in geometry and topology. It is commonly used in mathematical terminologies
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- Having to do with, or having, simplices.
How to use "simplicial" in a sentence
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simplicial
The dual of a simplicial polytope is called simple.
Such a tree is often called a simplicial tree.
A simplicial polytope is a polytope whose facets are all simplices.
It is used to define simplicial and cosimplicial objects.
It is used in calculating the homotopy properties of a simplicial group.
Determining whether two finite simplicial complexes are homeomorphic.
Simplicial objects in algebraic topology.
This construction produces all simplicial circles.
We show that simplicial complexes are a suitable alternative to meshes.
We call such collection of objects a simplicial complex.
This model is related to simplicial complexes and to combinatorial topology.
This hierarchy is based on matrices arising from simplicial complexes.
It is also a simplicial model category.
Cartesian product operation was originally defined for simplicial sets.
Statement for simplicial complexes.
See also
A class of simplices with this property is called a simplicial complex.
A key concept in defining simplicial homology is the notion of an orientation of a simplex.
Note that the star is generally not a simplicial complex itself.
The elements of a simplicial complex are called the faces of that complex.
Such ideals are described more geometrically in terms of finite simplicial complexes.
The purely combinatorial counterpart to a simplicial complex is an abstract simplicial complex.
Our main tool is the étale cohomology of sheaves on simplicial schemes.
The dimension of a simplicial complex is defined as its maximum face dimension.
Determining whether the fundamental group of a finite simplicial complex is trivial.
Simplicial complexes are used to define a certain kind of homology called simplicial homology.
A commutative monoid in the category of simplicial abelian groups is a simplicial commutative ring.
A simplicial complex that has a sequence of collapses leading to a point is called collapsible.
A topological space that is the polytope of a finite simplicial complex is called a polyhedron.
This construction makes simplicial homology a functor from simplicial complexes to abelian groups.
It has been conjectured that the same conditions are necessary for general simplicial spheres.
It is a remarkable fact that simplicial homology only depends on the associated topological space.
An example of this approach defines a polytope as a set of points that admits a simplicial decomposition.
The study of random simplicial complexes offers some insight into statistical topology.
The path following between the two problems is here implemented with a simplicial method.
An example is the chain complex defining the simplicial homology of a finite simplicial complex.
Strong collapse comprises of removal of special vertices called dominated vertices from a simplicial complex.
After the proof of the simplicial approximation theorem this approach provided rigour.
A Delaunay triangulation is for us a simplicial complex.
Any simplicial generalized homology sphere is an Eulerian lattice.
The input data is constructed by a finite family of simplicial complexes of R n.
Simplicial sets are therefore nothing but presheaves on Δ.
The colored Jones polynomials and the simplicial volume of a knot.
The simplicial Complex.
This link structure implies that the corresponding simplicial complex is necessarily a Euclidean building.
Kan complex A Kan complex is a fibrant object in the category of simplicial sets.
We have defined Simplicial homology groups.
Next, we propose two different applications of simplicial complexes.
Determining whether a finite simplicial complex is ( homeomorphic to ) a manifold.
For other definitions, see symmetric spectrum and simplicial spectrum.
How is a simplicial complex built from the data?
