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Translations for „simplicial“ in the English » Arabic Dictionary (Go to Arabic » English)

simplicial ADJ

Monolingual examples (not verified by PONS Editors)

English
In this context triangles of groups correspond to non-positively curved 2-dimensional simplicial complexes with the regular action of a group, "transitive on triangles".
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The argument applies equally to the simplicial or singular chain complexes.
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The result of barycentric subdivision, when viewed as an abstract simplicial complex, is an example of a flag complex.
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Some simplicial spheres arise as the boundaries of convex polytopes, however, in higher dimensions most simplicial spheres can not be obtained in this way.
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Here, reasonable means that the space in question is the geometric realization of a simplicial set.
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Simplicial maps are thus determined by their effects on vertices.
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In general, however, the h-vector of a simplicial complex is not even necessarily positive.
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One can also replace presheaves of sets by presheaves of simplicial sets (or of infinity groupoids).
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Subdivided interval categories are very useful in defining simplicial sets.
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Each is a union of "apartments", themselves simplicial complexes.
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