query: Projective plane, fixed point
positive_passages.docid: 149999
positive_passages.text: fixed point of a continuous map on a projective space
negative_passages.docid: 60202
negative_passages.text: Find a plane that passes through a point and is perpendicular to 2 planes
negative_passages.docid: 66895
negative_passages.text: A condition for the image of a metrizable space to be metrizable
negative_passages.docid: 104955
negative_passages.text: Variety that is affine and projective is a finite number of points
negative_passages.docid: 129997
negative_passages.text: Unique line in $\mathbb{P}^3$ through a point $p$ and intersecting two disjoint lines
negative_passages.docid: 74352
negative_passages.text: A weak version of Markov-Kakutani fixed point theorem
negative_passages.docid: 110472
negative_passages.text: Existence of a Pivot Point in Euclidean Geometry
negative_passages.docid: 150515
negative_passages.text: Construct an affine transformation of a plane given the images of three points
negative_passages.docid: 152236
negative_passages.text: What is the optimal path between $2$ fixed points around an invisible obstructing wall?
negative_passages.docid: 116378
negative_passages.text: Nonhomeomorphic subsets of the plane
negative_passages.docid: 57897
negative_passages.text: Algorithm for computing the plane that passes through three arbitrary points
negative_passages.docid: 115014
negative_passages.text: Classification of automorphisms of projective space
negative_passages.docid: 155661
negative_passages.text: Linear regression with fixed point
negative_passages.docid: 23219
negative_passages.text: The plane minus $n$ points deformation retracts onto...
negative_passages.docid: 126842
negative_passages.text: Fixed point in a continuous function
negative_passages.docid: 126192
negative_passages.text: Connected, locally connected, path-connected but not locally path-connected subspace of the plane
negative_passages.docid: 27096
negative_passages.text: Hilbert polynomial of an hypersurface in projective space