#18175: Implement categories for topological and metric spaces and related
categories
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: categories | Resolution:
Keywords: geometry, | Merged in:
topology, sd67 | Reviewers:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | e6076d2a41dbe5e3294c03a95e3e763e60d554ff
public/categories/topological_metric_spaces-18175| Stopgaps:
Dependencies: #18174 #17160 |
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Comment (by egourgoulhon):
Replying to [comment:37 tscrim]:
> So then you'd do the diagram in comment:28, in contrast to your
statement in comment:30?
Yes this is more or less what I mean. Sorry for the confusion... Actually
in preparing the code for differentiable manifolds in #18783, I realize
that (i) we can allow very easily for a base field different from '''R'''
or '''C''' and (ii) differentiable manifolds over fields different from
'''R''' or '''C''' are not so uncommon in the literature, in particular
manifolds over '''Q'''_p. Basically the topological field has to be a
complete metric space (as '''Q'''_p is), so that the notion of
differentiability makes sense.
--
Ticket URL: <http://trac.sagemath.org/ticket/18175#comment:38>
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