Projective line

In mathematics, a projective line is a one-dimensional projective space. The projective line over a field K, denoted P1(K), may be defined as the set of one-dimensional subspaces of the two-dimensional vector space K2 (it does carry other geometric structures). The projective line may also be thought of as the line K together with an idealised point at infinity.

Related Topics:
Mathematics - Projective space - Field - Subspace - Vector space - Point at infinity

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For the generalisation to the projective line over an associative ring, see inversive ring geometry.

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