Bidualization of Affine Spaces
affine space. afine dual.affine bidual
Main ideas on affine space are presented. Let A be an affine space modelled on a vector space V , and let A†=Aff(A,IR) be the extended dual of A, that is, the vector space of all affine maps from A to the real line. It is well known that in the case of a vector space V , the bidual V** is isomorphic to V. We consider the vector bidual (A†)* of A and includes the affine space A into its vector bidual.