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  • Walks on Ordinals and Their Characteristicsby Stevo Todorcevic

    Springer 2007; US$ 129.00

    The analysis of the characteristics of walks on ordinals is a powerful technique for building mathematical structures. This book offers an exposition of this method. It lays emphasis on applications which are presented in a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory and combinatorics. more...

  • Introduction to Ramsey Spaces (AM-174)by Stevo Todorcevic

    Princeton University Press 2010; US$ 52.50

    Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic... more...

  • Ramsey Methods in Analysisby Spiros A. Argyros; Stevo Todorcevic

    Springer 2006; US$ 59.95

    Introduces graduate students and researchers to the study of the geometry of Banach spaces using combinatorial methods. This book shows, for example, how to introduce a conditional structure to a given Banach space under construction that allows us to essentially prescribe the corresponding space of non-strictly singular operators. more...

  • Set Theoryby Joan Bagaria; Stevo Todorcevic

    Springer 2006; US$ 169.00

    Contains survey papers on some of the mainstream areas of set theory and research. This book covers topics such as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, and more. more...

  • Notes on Forcing Axiomsby Stevo Todorcevic; Chitat Chong; Qi Feng; Yue Yang

    World Scientific Publishing Company 2013; US$ 75.00

    In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the Open Mapping Theorem or the Banach-Steinhaus Boundedness Principle. This volume brings the Baire category... more...

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