An introduction to geometric sets (Q497164)

The author develops an abstract notion of a geometry, generalizing the homogeneous and conformal models, based on ``blades of a geometric algebra as representatives of geometry''. Several results are proved about the abstract objects defined. The terms `geometric algebra', the `homogeneous and conformal models' are used in the sense encountered e.\ g.\ in [\textit{L. Dorst}, in: Geometric computing with Clifford algebras. Theoretical foundations and applications in computer vision and robotics. Berlin: Springer, 127--152, 531--542 (2001; Zbl 1073.68846)].