Timeline for I was wondering if the set of singular loops is a (somewhere) submanifold of loop space?
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Sep 17, 2011 at 23:23 | comment | added | Nikita Kalinin | and now I think about why splitting of a tangent space for discriminant defines a chart for it, as Ryan wrote. | |
| Sep 17, 2011 at 23:19 | comment | added | Nikita Kalinin | I have in mind exactly the same picture. And my initial question is just about does stratum which you have listed be a submanifolds not only in sense of perturbations ("I claim that singularities of this form are a codimension 3 submanifold of the space of all smooth maps. As in Ryan's answer, a 3-dimensional space of perturbations transverse...") that is equivalent to existing a "normal" bundle in each point, but in more intrinsic terms such as Frechet manifold, for example... | |
| Sep 17, 2011 at 12:55 | history | answered | Kevin Walker | CC BY-SA 3.0 |