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This is a long awaited book on rational homotopy theory which contains all the main theorems with complete proofs, and more elementary proofs for many results that were proved ten or fifteen years ago. The authors added a frist section on classical algebraic topology to make the book accessible to students with only little background in algebraic topology.
Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs. As both notation and techniques of rational homotopy theory have been considerably simplified, the book presents modern elementary proofs for many results that were proven ten or fifteen years ago.
This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article. Much of the content consists of new results, including generalizations of known results in the simply connected case. The monograph also includes an expanded version of recently published results about the growth and structure of the rational homotopy groups of finite dimensional CW complexes, and concludes with a number of open questions.This monograph is a sequel to the book Rational Homotopy Theory [RHT], published by Springer in 2001, but is self-contained except only that some results from [RHT] are simply quoted without proof.
The rhymed chronicles by Pierre de Langtoft and Robert Mannyng, written between c.1305 and 1338, form a unique pair in the history of English literature and historiography. Both were written in the North of England, both deal with the history of the kings of England from Brutus to the death of Edward I in July 1307. Yet the differences between them are significant. Langtoft wrote in Anglo-Norman with a specific purpose and a specific audience in mind. Robert Mannyng translated a large part of Langtoft's work into English for a very different kind of audience. Although he stayed close to his source-text in many places, his deviations offer insights into the way the English clergy and the public they addressed viewed themselves, their history and their future. The Matter of Kings' Lives is of interest to social and political historians, especially those interested in the reign of Edward I and Anglo-Scottish relations, and to literary historians who may find that these works have more to offer than has hitherto been realized.
This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.
In this book, first published in 1981, the authors trace and analyse the growth of transnational party co-operation and the factors important to it during the years before and immediately following direct elections. They recognise three major dimensions of transnational co-operation: the Euro-parliamentary groups; the new European party federations; and the national party frameworks in the member states. This title will be of interest to academics and students concerned with European affairs.
From a chicken nugget shaped like Jesus, to Mohammad splitting the moon in two, to a Japanese doll whose hair grows, Yujin Nagasawa considers reported miracles in ancient scriptures and modern day life, and uses cutting-edge scientific research on belief formation to address some of our most fundamental questions concerning miracles.
The failure of current immigration policies in the United States has resulted in dire consequences: a significant increase in border deaths, a proliferation of smuggling networks, prolonged family separation, inhumane raids, a patchwork of local ordinances criminalizing activities of immigrants and those who harbor them, and the creation of an underclass—none of which are appropriate or just outcomes for those holding Christian commitments. Kinship Across Borders analyzes contemporary US immigration in the context of fundamental Christian beliefs about the human person, sin, family life, and global solidarity. Kristin Heyer expertly demonstrates how current US immigration policies reflect ...