
 PlanetMath: every vector space has a basis (Site not responding. Last check: 20071022) 
  This result, trivial in the finite case, is in fact rather surprising when one thinks of infinite dimensionial vector spaces, and the definition of a basis: just try to imagine a basis of the vector space of all continuous mappings 
  Crossreferences: span, maximal element, vectors, collection, upper bound, chain, inclusion, subset, linearly independent, field, Zorn's lemma, axioms, axiom of choice, equivalent, theorem, mappings, continuous, basis, vector spaces, infinite, finite 
  This is version 5 of every vector space has a basis, born on 20020930, modified 20050624. 
 planetmath.org /encyclopedia/EveryVectorSpaceHasABasis.html (184 words) 
