Embedding dual nets in affine and projective spaces

Abstract

This article determines the structure of arbitrary nets (finite or infinite) whose duals may be embedded into affine or projective space. The main results are that nets whose duals may be embedded into projective space are pseudo-regulus nets and nets whose duals may be embedded into affine space are 1-parallel class retractions of pseudo-regulus nets.

Keywords

• nets
• pseudo-regulus