Algebraical and Topological Foundations of Geometry: by Hans Freudenthal

By Hans Freudenthal

Algebraical and Topological Foundations of Geometry includes the lawsuits of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers evaluation the algebraical and topological foundations of geometry and canopy subject matters starting from the geometric algebra of the Möbius airplane to the speculation of parallels with functions to closed geodesies. teams of homeomorphisms and topological descriptive planes also are discussed.

Comprised of 26 chapters, this e-book introduces the reader to the idea of parallels with purposes to closed geodesies; teams of homeomorphisms; complemented modular lattices; and topological descriptive planes. next chapters specialize in collineation teams; unprecedented algebras and remarkable teams; the relationship among algebra and buildings with ruler and compasses; and using differential geometry and analytic crew concept tools in foundations of geometry. Von Staudt projectivities of Moufang planes also are thought of, and an axiomatic therapy of polar geometry is presented.

This monograph might be of curiosity to scholars of mathematics.

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