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Real projective 3-space (RP3)

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Algebraic topology Real projective space
2026-10-14  0 By others on same topic  0 Discussions Create my own version
The quotient of the three-sphere by its antipodal map is a closed oriented three-manifold. Equivalently it is the lens space obtained by integer surgery of coefficient two on the unknot. Its fundamental group is cyclic of order two, from the sphere double covering. This makes it a basic example for Jones polynomial surgery invariants.
// Target: knot-theory.bigb

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  • Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 17 / 5 / Solution

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