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cell complexの例文

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  • A generalization of barycentric subdivision can also be defined for a cell complex.
  • Topological-balls are important in combinatorial topology, as the building blocks of cell complexes.
  • The name is also used in topology for a similar operation on cell complexes.
  • Connected cell complexes and connected manifolds are examples of " sufficiently good " spaces.
  • Their theory was still limited to finite cell complexes.
  • This two-cell complex is now called a bdelloplast.
  • The metric form of the theorem demonstrates that a non-positively curved polyhedral cell complex is aspherical.
  • Various software packages have been developed for the purposes of computing homology groups of finite cell complexes.
  • Computation of homology groups of cell complexes reduces to bringing the boundary matrices into Smith normal form.
  • A cell complex and its dual constitute a valid framework to describe the association of physical variables with the oriented space elements.
  • The column is placed between permanent magnets so that when the magnetic particle-cell complex passes through it, the tagged cells can be captured.
  • The notion of an abstract cell complex differs essentially from that of a CW-complex because an abstract cell complex is no Hausdorff space.
  • The notion of an abstract cell complex differs essentially from that of a CW-complex because an abstract cell complex is no Hausdorff space.
  • Officers have complained about the condition of the cell complex, saying sewage was dripping into their offices from cells upstairs, Chief Commissioner Derrick Holiday said.
  • All three implement pre-processing algorithms based on Simple-homotopy equivalence and discrete Morse theory to perform homology-preserving reductions of the input cell complexes before resorting to matrix algebra.
  • The term " cell " is sometimes used in a broader sense to denote a set homeomorphic to a simplex, leading to the definition of cell complex.
  • He also proposed ( 2008 ) a more general axiomatic theory of locally finite topological spaces and abstract cell complexes formerly suggested by Steinitz ( 1908 ).
  • Homotopy deals with homotopy groups ( including the fundamental group ) as well as simplicial complexes and CW complexes ( also called " cell complexes " ).
  • This possibility defines the great advantage of abstract cell complexes : It becomes possible to exactly define the notions of connectivity and of the boundary of subsets.
  • This is important since the notion of an abstract cell complexes can be applied to the two-and three-dimensional grids used in image processing, which is not true for simplicial complexes.
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