Ralf Schindler teaches at Universität Münster and is an expert in the field of set theory.Ralf Schindler works mostly in the area of descriptive inner model theory. His results are on the construction of inner models and core models, on coding over core models and on applications of inner model theory to descriptive set theory and combinatorics. He isolated the concept of a “remarkable” cardinal.

"This text is, in its own way, a remarkable accomplishment. While a 'Universitext', it somehow manages to pursue a steady path of exposition from the beginnings in the seminal work of Cantor through to Jensen's covering Lemma and the Martin-Steel Theorem on Projective Determinacy. ... this text could well be considered an informative one even for the set theorist." (A. Kanamori, Mathematical Reviews, June, 2015) "The material is given in a form that is accessible to students. ... The book contains many interesting problems which help the reader to follow and understand the presented material. This very carefully written book can be recommended to everyone seriously interested in modern set theory." (Martin Weese, zbMATH, Vol. 1296, 2014)

• Naive set theory.- Axiomatic set theory.- Ordinals.- Cardinals.- Constructability.- Forcing.- Descriptive set theory.- Solovay’s model.- The Raisonnier filter.- Measurable cardinals.- 0# and Jensen’s Covering Lemma.- Analytic and full determinacy.- Projective determinacy.