Changes between Version 62 and Version 63 of CategoriesRoadMap


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Timestamp:
01/21/11 01:31:05 (2 years ago)
Author:
nthiery
Comment:

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  • CategoriesRoadMap

    v62 v63  
    203203  * Hom is *not* a functorial construction. This works for now, but 
    204204    the design and user interface needs to be discussed for the long 
    205     run implementation. 
    206   * What's the right inheritance structure for homsets?  Also, how 
    207     should one specify that a category's homsets are enriched in another 
    208     category?  Via a method like "enriched_in()" on the category?  By 
    209     extra_super_categories() in a custom HomCategory? 
    210  
    211     Current status: if B is a subcategory of A, we want 
    212     HomCategory(B).element_class to inherit from HomCategory(A), and a 
    213     coercion Hom(P1, P2, B) -> Hom(P1, P2, A). Such coercions cannot 
    214     be handled well by the standard coercion mechanism, as Hom(P1, P2, 
    215     Sets) will have *lot* of coercion sources. But Hom sets could have 
    216     special rules (like tensor products will have). 
     205    run implementation. See #10668. 
    217206 
    218207  * Support for multivariate morphisms, i.e. morphisms (A x B) -> C 
    219208    where the specializations (A x b) -> C and and (a x B) -> C are 
    220     morphisms for possibly different categories (see #8900) 
     209    morphisms for possibly different categories (see also #8900) 
    221210  * Defining new inline operators, at least within the sage interpreter 
    222211  * Convention for the order in super_categories (see primer)