Abstract
A generalized model of geometry based upon the idea of using blades of a geometric algebra as representatives of geometry is developed. Similar to the idea of an algebraic set, the main object of study becomes the notion of a geometric set. Results about geometric sets are obtained, and their implications discussed. Being a generalization, results obtained are immediately applicable to well-known models of geometry, including the homogeneous and conformal models, as well as any specific future model that falls under the generalization.
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To my dear wife Melinda.
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Parkin, S.T. An Introduction To Geometric Sets. Adv. Appl. Clifford Algebras 25, 639–655 (2015). https://doi.org/10.1007/s00006-015-0533-1
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DOI: https://doi.org/10.1007/s00006-015-0533-1