For [tex]n\geq 2[/tex], is there a smooth map [tex]f: S^n\rightarrow E[/tex] ([tex]E[/tex] is the equator of [tex]S^n[/tex]) which has the property that the restriction of [tex]f[/tex] to [tex]E[/tex] is a diffeomorphism from [tex]E[/tex] to [tex]E[/tex]?(adsbygoogle = window.adsbygoogle || []).push({});

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# N-sphere and its equator

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