complex projective line

noun

Definitions

  1. A complex line (especially, the set of complex numbers regarded as such) endowed with a…

    A complex line (especially, the set of complex numbers regarded as such) endowed with a point at infinity (thus becoming a projective line); (more formally) the set of equivalence classes of ordered pairs (α, β) of complex numbers, not both zero, with respect to the equivalence relation "(α, β) ≡ (λα, λβ) for all nonzero complex λ".

    • Finally, C is interested in the geometry of the complex projective line P¹(#92;C).
    • Hence, C(#92;Gamma) is an uncountable union of complex projective lines.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA