Q-Theory – Can somebody please explain this abstract to me?

question mark by Scott McLeod

Introduction to Q-Theory
[Via CaltechAUTHORS: No conditions]

Kechris, Alexander S. and Martin, Donald A. and Solovay, Robert M. (1983) Introduction to Q-Theory. In: Cabal Seminar 79-81. Lecture notes in mathematics (1019). Springer , Berlin , pp. 199-282. ISBN 978-3-540-12688-1 http://resolver.caltech.edu/CaltechAUTHORS:20130531-151329535


Here is the abstract:

Working in the context of Projective Determinacy (PD), we introduce and study in this paper a countable ∏^1_(2n+1) set of reals Q_(2n+l) and an associated real y^0_(2n+l) for each n ≥ 0 (real means element of ω^ω in this paper). Our theory has analytical (descriptive set theoretic) as well as set theoretic aspects, strongly interrelated with each other.


The only thing I could find that seemed relevant was this book – The q-theory of Finite Semigroups. Here is what the back cover says:

Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader – from the graduate student to the researcher/practitioner – with a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research.