Quantum measure spaces

In this article I present some material of a forthcoming book with the titleQuantum Measures and Spaces. The main theme are generalizations of Gleason's theorem and spaces in which quantum measures exist. Characterizations of such spaces and classifications of their measures are given. The book will contain some supplementary results from the orthomodular theory under the heading Miscellaneous. It is a sequel to the bookMeasures and Hilbert Lattices of the same author.