The relation between Gromov hausdorff convergence and inverse limit of compact metric spaces.
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$\begingroup$ Gromov-Hausdorff convergence makes sense in the "space" of compact metric spaces up to isometry. So "being in a Euclidean space" does not make much sense her. $\endgroup$– Benoît KloecknerOct 1, 2014 at 19:12
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$\begingroup$ The question could be rephrased as follows: Does there exist a subset of Euclidean space that is isometric to the Gromov-Hausdorff limit? $\endgroup$– Deane YangOct 1, 2014 at 19:37
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$\begingroup$ I simply feel that the question should be more specific, more precise. (I'd have some suggestions but it's a task for the one who poses the question). $\endgroup$– Włodzimierz HolsztyńskiOct 2, 2014 at 5:53
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