Abstract.
Generalizing the famous Borsuk’s non-retraction theorem, it is proved that there is a retraction from a compact subspace of a euclidean space onto its boundary if and only if it has an empty interior.
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Received October 31, 2001; in revised form March 14, 2002 Published online September 9, 2002
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Sánchez-Granero, M. Retraction of a Compact Subspace onto Its Boundary. Monatsh. Math. 139, 169–172 (2003). https://doi.org/10.1007/s00605-002-0489-9
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DOI: https://doi.org/10.1007/s00605-002-0489-9