A note on strong Jordan separation
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We establish a strengthening of Jordan separation, to the setting of maps f : X --> Sn+1, where X is not necessarily a manifold, and f is not necessarily injective.
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Lafont, J.-F. «A note on strong Jordan separation». Publicacions Matemàtiques, 2009, vol.VOL 53, núm. 2, p. 515-2, http://raco.cat/index.php/PublicacionsMatematiques/article/view/140689.