Comments on: Measure theory, topology, and the role of examples http://lamington.wordpress.com/2009/06/16/measure-theory-topology-and-the-role-of-examples/ Sun, 14 Apr 2013 21:31:14 +0000 hourly 1 http://wordpress.com/ By: Anonymous http://lamington.wordpress.com/2009/06/16/measure-theory-topology-and-the-role-of-examples/#comment-1627 Sun, 14 Apr 2013 21:31:14 +0000 http://lamington.wordpress.com/?p=218#comment-1627 Hahn Banach theorem implies the Axiom of Choice.

]]> By: Danny Calegari http://lamington.wordpress.com/2009/06/16/measure-theory-topology-and-the-role-of-examples/#comment-8 Tue, 16 Jun 2009 20:59:50 +0000 http://lamington.wordpress.com/?p=218#comment-8 Dear Andy – thanks for the correction! (I also neglected to mention that one must wedge f^{-1}(V) between a compact set and an open set and then play the game with the compact set in place of f^{-1}(V) – doh!)

]]> By: Andy P. http://lamington.wordpress.com/2009/06/16/measure-theory-topology-and-the-role-of-examples/#comment-7 Tue, 16 Jun 2009 20:39:16 +0000 http://lamington.wordpress.com/?p=218#comment-7 A very nice entry! One small correction : in example 4, the statement of the result should read “any measurable homomorphism between…topological groups is CONTINUOUS”.

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