#18175: Implement categories for topological and metric spaces and related
categories
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: new
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: | 95a30aa57fc62f23a884790b57835d107d8bdeef
public/categories/topological_metric_spaces-18175| Stopgaps:
Dependencies: #18174 #17160 |
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Comment (by tscrim):
For the record, I'm not much of an expert in manifolds; most of my
knowledge comes from reading wikipedia.
So you're saying there should be a canonical functor from complex
manifolds to almost complex manifolds given by changing the base field
from '''C''' to '''R''' (as opposed to it being a subcategory)? From what
you said, this seems to be the best course of action.
For the example with finite fields, do they have a reasonable topology and
could that define a transition map? If so, then I think we should enforce
differentiable as being over '''R'''.
--
Ticket URL: <http://trac.sagemath.org/ticket/18175#comment:27>
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