Last Updated：2022/12/23
Let us consider the vector space T_p. Its projectivization PTₚ, is a projective space, which is obtained from T_p, by factorization relative to the collinearity of vectors. The projectivization PTₚ is a set of straight lines, passing through the point p. Under projectivization, the cone C(2,r) becomes a manifold S(1,r-1) of dimension r.
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Let
us
consider
the
vector
space
T_p.
Its
projectivization
PTₚ,
is
a
projective
space,
which
is
obtained
from
T_p,
by
factorization
relative
to
the
collinearity
of
vectors.
The
projectivization
PTₚ
is
a
set
of
straight
lines,
passing
through
the
point
p.
Under
projectivization,
the
cone
C(2,r)
becomes
a
manifold
S(1,r-1)
of
dimension
r.
