Geodesic
A Characterization of LCn Compacta in Terms of Gromov-Hausdorff Convergence
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 505-513

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DOI

It is proved that a compactum is locally n-connected if and only if it is the limit (in the sense of Gromov-Hausdorff convergence) of an "equi-locally n-connected" sequence of (at most) (n + 1)-dimensional compacta.
DOI : 10.4153/CMB-1994-073-9
Mots-clés : 54F45, 54H25, locally n-connected, Gromov-Hausdorff convergence, soft maps 
Kawamura, Kazuhiro. A Characterization of LCn Compacta in Terms of Gromov-Hausdorff Convergence. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 505-513. doi: 10.4153/CMB-1994-073-9
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     title = {A {Characterization} of {LCn} {Compacta} in {Terms} of {Gromov-Hausdorff} {Convergence}},
     journal = {Canadian mathematical bulletin},
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     year = {1994},
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     number = {4},
     doi = {10.4153/CMB-1994-073-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-073-9/}
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