Changes between Version 4 and Version 5 of Ticket #31785, comment 11


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Timestamp:
May 17, 2021, 5:41:04 AM (21 months ago)
Author:
gh-mjungmath
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  • Ticket #31785, comment 11

    v4 v5  
    44The only property we need is that of the homset. Isn't it a bit overkill to give it a whole category by itself? What does speak against a concrete implementation of the topology of a manifold, which comes in handy on many occasions, and then introducing a category of topologies? The homset between elements of the topology can then be established as induced by the poset structure of subsets. These homsets can still be implemented on the level of the category of topologies.
    55
    6 As far as I know, homsets can be defined between any suitable Sage objects and doesn't need a category from scratch.
     6As far as I know, homsets can be defined between any suitable Sage objects and doesn't need a category on its own.
    77
    88> Also, in case it isn't clear, it is okay to have the homset be empty.