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Stereographic projections and geometric singularities. (English) Zbl 0939.58036

Author’s abstract: “We relate the contacts of \(k\)-spheres and submanifolds of \(\mathbb{R}^n\) with those of \((k+1)\)-planes and their inverse images through the stereographic projection in \(\mathbb{R}^{n+1}\) by defining \({\mathcal K}\)-equivalences between their respective families of contact maps”.

MSC:

58K15 Topological properties of mappings on manifolds
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