Characterization of affine links in the projective space
classification
🧮 math.GT
keywords
projectivelinkaffinespacecharacterizationclosedcomplementcontains
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A projective link is a smooth closed 1-submanifold of the real projective space of dimension three. A projective link is said to be affine if it is isotopic to a link, which does not intersect some projective plane. The main result: a projective link is affine if and only if the fundamental group of its complement contains a non-trivial element of order two.
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