By Hans Freudenthal

ISBN-10: 0080096107

ISBN-13: 9780080096100

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 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 booklet introduces the reader to the speculation of parallels with purposes to closed geodesies; teams of homeomorphisms; complemented modular lattices; and topological descriptive planes. next chapters concentrate on collineation teams; unparalleled algebras and unprecedented teams; the relationship among algebra and structures with ruler and compasses; and using differential geometry and analytic staff idea 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 should 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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