| 1. | A generalization of barycentric subdivision can also be defined for a cell complex.
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| 2. | Topological-balls are important in combinatorial topology, as the building blocks of cell complexes.
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| 3. | The name is also used in topology for a similar operation on cell complexes.
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| 4. | Connected cell complexes and connected manifolds are examples of " sufficiently good " spaces.
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| 5. | Their theory was still limited to finite cell complexes.
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| 6. | This two-cell complex is now called a bdelloplast.
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| 7. | The metric form of the theorem demonstrates that a non-positively curved polyhedral cell complex is aspherical.
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| 8. | Various software packages have been developed for the purposes of computing homology groups of finite cell complexes.
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| 9. | Computation of homology groups of cell complexes reduces to bringing the boundary matrices into Smith normal form.
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| 10. | A cell complex and its dual constitute a valid framework to describe the association of physical variables with the oriented space elements.
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