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Titlebook: Topological Crystallography; With a View Towards Toshikazu Sunada Book 2013 Springer Japan 2013 Covering map.Discrete Abel--Jacobi map.Hom

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楼主: Lactase
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Introduction,ph theory is another powerful area for the obvious reason that it is used to study the microscopic structure of a crystal (and any molecule) as a 3D (three-dimensional) ., in which each atom (or each cluster of atoms) is represented by a vertex of the net, and each edge of the net represents a . (or a polymeric ligand) in the crystal structure.
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Covering Graphsa covering map from the line . onto the circle .., which somehow suggests an idea why we use the term “covering”. The canonical projection ., introduced in Example 2.5, is another example of a covering map.
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Explicit Constructionke up a candidate for the building block . by the method suggested in Notes (III) in .. To this end, we shall equip the vector space . of 1-chains with the canonical Euclidean structure. Thus, homology theory plays again a key role in our discussion.
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