Timeline for How do we even define Banach manifolds with corners?
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Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
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Feb 23, 2017 at 22:32 | comment | added | Pietro Majer | To be precise, the Banach model spaces are isomorphic on any connected component of $X$. In any case, you do not need the Zorn lemma or variations of it to ensure the existence of a maximal atlas containing a given atlas $\mathcal{A}$: it is the union of all atlases compatible with $\mathcal{A}$ (a proper class, so what? :) ) | |
Feb 23, 2017 at 19:53 | comment | added | Ben McKay | Why do you need to use different Banach spaces and linear functions for different charts on the same manifold? Surely you can fix the Banach space, and fix some sequence of linear functions for your corners, using only finitely many in each chart. | |
Feb 23, 2017 at 19:41 | history | asked | Rubertos | CC BY-SA 3.0 |