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Projective space (P(V))

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Geometry Projective geometry
Updated 2025-07-16  1 By others on same topic  0 Discussions Create my own version
A unique projective space can be defined for any vector space.
The projective space associated with a given vector space V is denoted P(V).
The definition is to take the vector space, remove the zero element, and identify all elements that lie on the same line, i.e. v=λw
The most important initial example to study is the real projective plane.
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Projective space

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Projective space by Wikipedia Bot 0
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Projective space is a fundamental concept in both mathematics and geometry, particularly in the fields of projective geometry and algebraic geometry. It can be intuitively thought of as an extension of the concept of Euclidean space. Here are some key points to understand projective space: ### Definition 1.
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