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Families of shapes

  1. Jul 17, 2009 #1
    Families of "shapes"

    Is there a general definition of a 'family' in topology or can a family be defined to suit one's specific requirements?

    I'm thinking in reference to the Calabi Yau (CY) family of shapes which are used as a model in most string theories. CY shapes are described as a family and they have anywhere from one to over 400 holes. Given that topological genera are defined more or less by the number of holes in a manifold, what more general topological characteristic would allow for the definition of a family?
    Last edited: Jul 17, 2009
  2. jcsd
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