Home Articles FAQs XREF Games Software Instant Books BBS About FOLDOC RFCs Feedback Sitemap

projective plane

You are here: irt.org | FOLDOC | projective plane

<mathematics> The space of equivalence classes of vectors under non-zero scalar multiplication. Elements are sets of the form

	{kv: k != 0, k scalar, v != O, v a vector}

where O is the origin. v is a representative member of this equivalence class.

The projective plane of a vector space is the collection of its 1-dimensional subspaces. The properties of the vector space induce a topology and notions of smoothness on the projective plane.

A projective plane is in no meaningful sense a plane and would therefore be (but isn't) better described as a "projective space".


Nearby terms: Project Athena « Project Guardian « projection « projective plane » Project MAC » project management » project planning

FOLDOC, Topics, A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, ?, ALL

©2018 Martin Webb