#18529: Topological manifolds: basics
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Reporter: egourgoulhon | Owner: egourgoulhon
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.8
Component: geometry | Resolution:
Keywords: topological | Merged in:
manifolds | Reviewers:
Authors: Eric Gourgoulhon | Work issues:
Report Upstream: N/A | Commit:
Branch: | 89c063c7119f19497e3d21b2a5a9dcb0752122b0
public/manifolds/top_manif_basics | Stopgaps:
Dependencies: #18175 |
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Comment (by jhpalmieri):
The phrase "manifold over a field K" sounds odd to me. Is it used in the
literature? What if K is a finite field? It seems that if X is a finite
discrete space, for every finite field F and for every non-negative
integer n, then X is a manifold over F of dimension n: F and n play no
role. (I'm assuming that finite fields have been given the discrete
topology.)
I think you might say "topological manifold over a topological field K",
since obviously the topology on K is critical. Or you could omit "over a
field K", and mention in the documentation that users can specify a
topological field (like \CC, rather than the default \RR) if they want.
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Ticket URL: <http://trac.sagemath.org/ticket/18529#comment:2>
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