Von Neumann founded the field of continuous geometry. It followed his path-breaking work on rings of operators. In mathematics, continuous geometry is an analogue of complex projective geometry, where instead of the dimension of a subspace being in a discrete set 0, 1, ..., n, it can be an element of the unit interval [0,1]. Von Neumann was motivated by his discovery of von Neumann algebras with a dimension function taking a continuous range of dimensions, and the first example of a continuous geometry other than projective space was the projections of the hyperfinite type II factor.
Von Neumann founded the field of continuous geometry . It followed his path - breaking work on rings of operators . In mathematics , continuous geometry is an analogue of complex projective geometry , where instead of the dimension of a subspace being in a discrete set 0 , 1 , ... , n , it can be an element of the unit interval [ 0,1]. Von Neumann was motivated by his discovery of von Neumann algebras with a dimension function taking a continuous range of dimensions , and the first example of a continuous geometry other than projective space was the projections of the hyperfinite type II factor .
What was the first example of continuous geometry?
What was the first example of continuous geometry ?
projections of the hyperfinite type II factor
projections of the hyperfinite type II factor