Algebraical and Topological Foundations of Geometry: by Hans Freudenthal

By Hans Freudenthal

Algebraical and Topological Foundations of Geometry comprises the complaints of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers evaluate 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 publication 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 specialize in collineation teams; remarkable algebras and unparalleled teams; the relationship among algebra and buildings with ruler and compasses; and using differential geometry and analytic crew thought 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 should be of curiosity to scholars of mathematics.

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