Comments on: The closed graph theorem in various categories
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence TaoSat, 13 Feb 2016 14:14:11 +0000hourly1http://wordpress.com/By: John Gowers
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-461539
Fri, 06 Nov 2015 17:49:13 +0000http://terrytao.wordpress.com/?p=6317#comment-461539In fact, we can characterize compact spaces an Hausdorff spaces in this way.
]]>By: John Gowers
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-461538
Fri, 06 Nov 2015 17:47:22 +0000http://terrytao.wordpress.com/?p=6317#comment-461538The opposite is true in the topological case. Here, one direction (continuous implies closed graph) holds whenever is a Hausdorff space, while the other direction (closed graph implies continuous) holds whenever is compact. There are no conditions on .
]]>By: A closed graph theorem in dcpo’s | polmath
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-431133
Sat, 18 Oct 2014 07:54:52 +0000http://terrytao.wordpress.com/?p=6317#comment-431133[…] Today I will add one closed graph type theorem to the list made by Terence Tao in his post Closed graph theorem in various categories. […]
]]>By: Chien
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-255788
Sat, 07 Dec 2013 05:50:09 +0000http://terrytao.wordpress.com/?p=6317#comment-255788Please help me find a discontinuous linear mapping T:X→Y such that T(X)=Y and X,Y are Banach but T is not open. Thanks you
]]>By: Notes on the classification of complex Lie algebras | What's new
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-226587
Sun, 28 Apr 2013 05:26:28 +0000http://terrytao.wordpress.com/?p=6317#comment-226587[…] the graph is that of a Lie algebra isomorphism by the Lie algebra closed graph theorem (see this previous blog post). Since , we see that restricts to the graph of the identity on , and the claim […]
]]>By: Lars Hormander « What’s new
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-198031
Fri, 30 Nov 2012 19:53:17 +0000http://terrytao.wordpress.com/?p=6317#comment-198031[…] symplectic form on ; this is another instantiation of the closed graph theorem, as mentioned in this previous post. This graph is known as the canonical relation for the (putative) FIO that is associated to . To […]
]]>By: Closed Graph Theorem in Various Categories « Francis' Math Blog
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-197688
Thu, 29 Nov 2012 20:36:01 +0000http://terrytao.wordpress.com/?p=6317#comment-197688[…] found this interesting blog post on Terence Tao’s blog about various analogs of the closed graph theorem […]
]]>By: Milad
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-195414
Fri, 23 Nov 2012 09:25:41 +0000http://terrytao.wordpress.com/?p=6317#comment-195414Reblogged this on Milad Ebrahimpour 's Blog.
]]>By: Marcelo de Almeida
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-195338
Fri, 23 Nov 2012 03:27:35 +0000http://terrytao.wordpress.com/?p=6317#comment-195338A great post. Clarify in many ways the form of look the closed graph theorem by means of the essential structure
]]>By: Marcelo de Almeida
https://terrytao.wordpress.com/2012/11/20/the-closed-graph-theorem-in-various-categories/#comment-194989
Thu, 22 Nov 2012 02:05:30 +0000http://terrytao.wordpress.com/?p=6317#comment-194989Reblogged this on Being simple.
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