Geometry Topology

Read e-book online Algebraical and Topological Foundations of Geometry: PDF

By Hans Freudenthal

Algebraical and Topological Foundations of Geometry comprises the court cases of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers assessment the algebraical and topological foundations of geometry and canopy issues starting from the geometric algebra of the Möbius aircraft to the idea of parallels with functions to closed geodesies. teams of homeomorphisms and topological descriptive planes also are discussed.

Comprised of 26 chapters, this ebook introduces the reader to the idea of parallels with functions to closed geodesies; teams of homeomorphisms; complemented modular lattices; and topological descriptive planes. next chapters specialize in collineation teams; unprecedented algebras and unheard of teams; the relationship among algebra and buildings with ruler and compasses; and using differential geometry and analytic staff conception equipment 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 could be of curiosity to scholars of mathematics.

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Algebraical and Topological Foundations of Geometry: Proceedings of a Colloquium Held in Utrecht, August 1959 by Hans Freudenthal


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