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, vol.VOL 53, no. 2, pp. 515-2, https://raco.cat/index.php/PublicacionsMatematiques/article/view/140689.