Timeline for Existence of dominating measure for weak*-compact set of measures

12 events

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Apr 13, 2017 at 12:19	history	edited	CommunityBot		replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
May 20, 2013 at 6:29	answer	added	jbc		timeline score: 2
May 19, 2013 at 13:28	comment	added	Nate Eldredge		For future readers: as mentioned below, please note that the weak-* topology here is the one induced by considering measures on $(\Omega, \mathcal{F})$ as linear functionals on the space of bounded measurable functions on $\Omega$ (not continuous functions; $\Omega$ has not been given a topology.) For Mike Jury's comment, the space of all probability measures on $[0,1]$ is not compact in this topology, and for Gerald Edgar's, $x \mapsto \delta_x$ is not continuous.
May 18, 2013 at 14:14	answer	added	Dan		timeline score: 4
May 17, 2013 at 5:29	vote	accept	andy teich
May 16, 2013 at 20:36	answer	added	George Lowther		timeline score: 3
May 14, 2013 at 19:42	history	edited	andy teich	CC BY-SA 3.0	added 12 characters in body
May 13, 2013 at 13:48	vote	accept	andy teich
May 15, 2013 at 14:49
May 13, 2013 at 13:46	answer	added	Davide Giraudo		timeline score: 2
May 13, 2013 at 13:28	comment	added	Gerald Edgar		Indeed, in Davide's example, the map $x \mapsto \delta_x$ is a homeomorphism from $[0,1]$ onto $\mathcal P$.
May 13, 2013 at 12:36	comment	added	Mike Jury		What happens if you take $\mathcal P$ to be the space of all Borel probability measures on $[0,1]$?
May 13, 2013 at 11:52	history	asked	andy teich	CC BY-SA 3.0