Timeline for Contractibility of the space of collars

9 events

when toggle format	what		by	license	comment
Oct 12, 2012 at 13:59	vote	accept	Geoffroy Horel
Oct 12, 2012 at 1:08	history	edited	John Pardon	CC BY-SA 3.0	fixed grammar
Oct 12, 2012 at 0:52	answer	added	Ryan Budney		timeline score: 10
Oct 12, 2012 at 0:39	comment	added	Ryan Budney		You still have flexibility. There's the $C^0$ uniform topology, the $C^1$ uniform topology, etc, up to the $C^\infty$ weak/Whitney topology.
Oct 12, 2012 at 0:19	history	edited	Geoffroy Horel	CC BY-SA 3.0	edited body; added 22 characters in body
Oct 12, 2012 at 0:18	comment	added	Geoffroy Horel		Ryan. I'm not sure I have some flexibility on what topology I can use. I have edited the question to take your comment into account.
Oct 12, 2012 at 0:13	history	edited	Geoffroy Horel	CC BY-SA 3.0	added 8 characters in body
Oct 12, 2012 at 0:05	comment	added	Ryan Budney		What topology do you want to use on that space? When your domain is non-compact there's a lot of different topologies to choose from. If you let the domain be $\partial M \times [0,1]$ (being the identity on $M \times \{0\}$ then you've got a more-or-less canonical topology on the space. People call it the weak or Whitney topology.
Oct 11, 2012 at 23:23	history	asked	Geoffroy Horel	CC BY-SA 3.0