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Create the page "Open pasting lemma" on this wiki! See also the search results found.
- **** So {{M|X-f^{-1}(Y-U)\in\mathcal{J} }} (is [[open set|open]] in {{Top.|X|J}}) ****** So {{M|1=f^{-1}(U)}} is open in {{Top.|X|J}}2 KB (378 words) - 01:39, 14 October 2016
- ...}} is [[continuous]] {{iff}} for each point {{M|x\in X}} there exists an [[open neighbourhood]] of {{M|x}}, say {{M|U}}, such that {{M|f\big\vert_{U}:U\rig ** Then take {{M|X\in\mathcal{J} }} as our [[open neighbourhood]] of {{M|x}}. Automatically {{M|x\in X}} and {{M|f\big\vert_X4 KB (710 words) - 06:01, 14 October 2016
- ...b page|grade=A*|msg=Create the [[closed pasting lemma]] and [[open pasting lemma]] pages. Do the proof, see page 58.9 in Lee's top manifolds if stuck, shoul : The [[closed pasting lemma]] and [[open pasting lemma]] are proved separately, this just unites the two.1 KB (193 words) - 07:07, 14 October 2016