Geodesic
The compacta X in $S^n$ for which Sh(X) = Sh($S^k$) is equivalent to $S^n$-X ≈ $S^n$-$S^k$
Fundamenta Mathematicae, Tome 97 (1977) no. 2, pp. 79-94
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@article{10_4064_fm_97_2_79_94,
     author = {T. Rushing},
     title = {The compacta {X} in $S^n$ for which {Sh(X)} = {Sh(}$S^k$) is equivalent to $S^n${-X} \ensuremath{\approx} $S^n$-$S^k$},
     journal = {Fundamenta Mathematicae},
     pages = {79--94},
     year = {1977},
     volume = {97},
     number = {2},
     doi = {10.4064/fm-97-2-79-94},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-97-2-79-94/}
}
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T. Rushing. The compacta X in $S^n$ for which Sh(X) = Sh($S^k$) is equivalent to $S^n$-X ≈ $S^n$-$S^k$. Fundamenta Mathematicae, Tome 97 (1977) no. 2, pp. 79-94. doi: 10.4064/fm-97-2-79-94

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