Talk:Continuous map
From Maths
Revision as of 12:21, 11 May 2016 by Alec (Talk | contribs) (Created page with "==Claim== I noted: {{Begin Inline Theorem}} '''UNPROVED: '''{{Note|I suspect that this is the same as {{M|\forall\mathcal{O}\in\mathcal{K}[f(x_0)\in\mathcal{O}\implies f^{-1}(...")
Claim
I noted:
UNPROVED: I suspect that this is the same as [ilmath]\forall\mathcal{O}\in\mathcal{K}[f(x_0)\in\mathcal{O}\implies f^{-1}(\mathcal{O})\in\mathcal{J}\wedge x_0\in f^{-1}(\mathcal{O})][/ilmath] - this is basically the same just on open sets instead
TODO: Investigate and prove the highlighted claim
(Leave any notes to self here)
It'd be good to have something on this somewhere. Also Boris confirmed this is indeed to strong. Somewhere...
