Spectral Spaces

Spectral spaces are a class of topological spaces. They are a tool linking
algebraic structures, in a very wide sense, with geometry. They were
invented to give a functional representation of Boolean algebras and
distributive lattices and subsequently gained great prominence as a
consequence of Grothendieck's invention of schemes. There are more than
1,000 research articles about spectral spaces, but this is the first monograph.
It provides an introduction to the subject and is a unified treatment of
results scattered across the literature, filling in gaps and showing the
connections between different results. The book includes new research
going beyond the existing literature, answering questions that naturally
arise from the comprehensive approach. The authors serve graduates by
starting gently with the basics. For experts, they lead them to the frontiers
of current research, making this book a valuable reference source.