Source: /cirosantilli/projective-space

= Projective space
{title2=$\projectiveSpace(V)$}
{wiki}

A <unique> projective space can be defined for any <vector space>.

The projective space associated with a given <vector space> $V$ is denoted $\projectiveSpace(V)$.

The definition is to take the vector space, remove the zero element, and identify all elements that lie on the same line, i.e. $\vec{v} = \lambda \vec{w}$

The most important initial example to study is the <real projective plane>.