Construct · 1 fields · 1 citations

Smale's paradox: a standalone construct

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Topology

a sphere can be turned inside out through smooth immersions, because all immersions of the sphere in space are regularly homotopic.

In topology, Smale's paradox refers to a sphere can be turned inside out through smooth immersions, because all immersions of the sphere in space are regularly homotopic. This meaning comes from Smale (1959) in Transactions of the American Mathematical Society.[1]

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Nearby constructs

paradox3 fields · 4 citationsjingle · one word, three constructs topology4 fields · 6 citationsjingle · one word, four constructs

References

Smale, S. (1959). A classification of immersions of the two-sphere. Transactions of the American Mathematical Society, 90(2), 281-290. https://doi.org/10.1090/s0002-9947-1959-0104227-9

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