Continuous Geometry
Book information
Description
In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Neumann founded the field of continuous geometry.This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, and - for the irreducible case - the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading.
Similar books
Collected works Vol 2. Operators, Ergodic Theory and Almost Periodic Functions in a Group
DJVU
Collected works. Vol.5 Design of computers, theory of automata and numerical analysis
1963 · DJVU
Collected works. Vol.3 Ring of operators
1961 · DJVU
Collected works. Vol.6 Theory of games, astrophysics, hydrodynamics and meteorology
1963 · DJVU
Collected works. Vol.4 Continuous geometry and other topics
1962 · DJVU
Collected works. Vol.2 Operators, ergodic theory and almost periodic functions
1961 · DJVU
Collected works. Vol.1 Logic, Theory of Sets and Quantum Mechanics
1961 · DJVU
Continuous Geometry
1998 · DJVU