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Dec 26, 2012 at 19:18 comment added Dmitri Pavlov @Tom Leinster and Walker: I answered in the main comment thread.
Dec 26, 2012 at 16:39 comment added TWalker I am not expert; but as I have understood the answer,if it is impossible for measurable spaces category ,so it is impossible for measure spaces category
Dec 26, 2012 at 15:40 comment added Tom Leinster It's an interesting answer, but not exactly an answer to the question asked. I'd still like to know about ways of making the category of measure spaces (not measurable spaces) internal to (not enriched in) the category of topological spaces. As both Dmitri and I have pointed out, there's a set-theoretic niggle to deal with, but that shouldn't be a serious obstacle.
Dec 26, 2012 at 9:26 vote accept TWalker
Dec 26, 2012 at 8:26 history answered Dmitri Pavlov CC BY-SA 3.0