Algebraical and Topological Foundations of Geometry: by Hans Freudenthal

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 themes starting from the geometric algebra of the Möbius airplane to the idea of parallels with purposes to closed geodesies. teams of homeomorphisms and topological descriptive planes also are discussed.

Comprised of 26 chapters, this booklet 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 concentrate on collineation teams; unparalleled algebras and unheard of teams; the relationship among algebra and buildings with ruler and compasses; and using differential geometry and analytic staff concept equipment in foundations of geometry. Von Staudt projectivities of Moufang planes also are thought of, and an axiomatic remedy of polar geometry is presented.

This monograph should be of curiosity to scholars of mathematics.

Show description

Read Online or Download Algebraical and Topological Foundations of Geometry: Proceedings of a Colloquium Held in Utrecht, August 1959 PDF

Similar geometry & topology books

Canterbury Cathedral

Trust within the Heavenly nature of geometrical kinds has existed considering prehistoric instances, yet in basic terms now, in those pages, will we see and know the way this trust encouraged the layout of an excellent non secular development. with out mathematical complexities, yet in basic language and with many clarifying illustrations, the writer demonstrates the geometrical buildings that the nice architects of Canterbury Cathedral devised to carry the geometry in their construction into concord with that of the Universe, and with the geometries in their predecessors.

The Heart of Cohomology

When you have no longer heard approximately cohomology, the center of Cohomology will be fitted to you. The ebook supplies primary notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived different types are defined in hassle-free type. purposes to sheaf cohomology.

Introductory Topology:Exercises and Solutions

The publication deals an exceptional creation to topology via solved workouts. it truly is mostly meant for undergraduate scholars. so much workouts are given with special recommendations. Contents:Exercises and Solutions:General Notions: units, services et al. Metric SpacesTopological SpacesContinuity and ConvergenceCompact SpacesConnected SpacesComplete Metric SpacesFunction SpacesReadership: Undergraduate scholars and academics in topology.

Introduction to Set Theory and Topology (International Series in Pure and Applied Mathematics)

Creation to Set idea and Topology describes the basic thoughts of set concept and topology in addition to its applicability to research, geometry, and different branches of arithmetic, together with algebra and chance concept. options akin to inverse restrict, lattice, perfect, filter out, commutative diagram, quotient-spaces, thoroughly general areas, quasicomponents, and cartesian items of topological areas are thought of.

Additional resources for Algebraical and Topological Foundations of Geometry: Proceedings of a Colloquium Held in Utrecht, August 1959

Example text

Download PDF sample

Rated 4.65 of 5 – based on 9 votes