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New posts in projective-space
When is the restriction of a quotient map $p : X \to Y$ to a retract of $X$ again a quotient map?
general-topology
projective-space
Distance between line and point in homogeneous coordinates?
linear-algebra
geometry
projective-space
homogeneous-spaces
How is the metric defined on the real projective space $\mathbb{RP}^n$?
riemannian-geometry
projective-space
What is topological distortion?
geometry
euclidean-geometry
projective-geometry
projective-space
projection
Show compactification of positive real plane is homeomorphic to $\Bbb R \Bbb P^2$
general-topology
projective-geometry
projective-space
compactification
Why are there no non-trivial regular maps $\mathbb{P}^n \to \mathbb{P}^m$ when $n > m$?
algebraic-geometry
projective-space
Why does the projection $\pi:(a,b,c) \in S^2 \to[a,b,c] \in P^2$ have rank 2 everywhere?
differential-geometry
smooth-manifolds
projective-space
Cross-ratio relations
linear-algebra
projective-geometry
projective-space
affine-geometry
integral cohomology ring of real projective space
algebraic-geometry
algebraic-topology
homology-cohomology
projective-space
cw-complexes
How to show $P^1\times P^1$ (as projective variety by Segre embedding) is not isomorphic to $P^2$?
algebraic-geometry
projective-space
What is the difference between projective geometry and affine geometry?
geometry
projective-geometry
projective-space
affine-geometry
Finding a non-degenerated quadric containing three projective lines in $\mathbb{P}^3(\mathbb{C})$
algebraic-geometry
quadratics
projective-geometry
projective-space
quadrics
Orientability of projective space
differential-geometry
algebraic-topology
manifolds
projective-space
No map $\mathbb{C}P^n \rightarrow \mathbb{C}P^m$ inducing a nontrivial map $H^2(\mathbb{C}P^m;\mathbb{Z}) \rightarrow H^2(\mathbb{C}P^n;\mathbb{Z})$
algebraic-topology
homology-cohomology
projective-space
The trace as an integral over the projective space
linear-algebra
differential-geometry
trace
projective-space
The cross-ratio of four points is a real number exactly when the four points lie on a line or a circle
complex-analysis
complex-numbers
projective-geometry
projective-space
proving a result in (elementary) planar projective geometry about cross ratios
geometry
projective-geometry
projective-space
Does there exist a regular map $\mathbb{A}^1\to\mathbb{P}^1$ which is surjective?
algebraic-geometry
projective-space
Lines in projective space
projective-space
Acting on CP(2) by conjugation
geometric-topology
quotient-spaces
projective-space
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