Four-manifolds, geometries and knots

The goal of this book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such manifolds and knots. The first chapter is purely algebraic. The rest of the book may be divided into three parts: general results on homotopy and surgery (Chapters 2-6), geometries and geometric decompositions (Chapters 7-13), and 2-knots (Chapters 14-18). In many cases the Euler characteristic, fundamental group and Stiefel-Whitney classes together form a complete system of invariants for the homotopy type of such manifolds, and the possible values of the invariants can be described explicitly. The strongest results are characterizations of manifolds which fibre homotopically over S^1 or an aspherical surface (up to homotopy equivalence) and infrasolvmanifolds (up to homeomorphism). As a consequence 2-knots whose groups are poly-Z are determined up to Gluck reconstruction and change of orientations by their groups alone. This book arose out of two earlier books "2-Knots and their Groups" and "The Algebraic Characterization of Geometric 4-Manifolds", published by Cambridge University Press for the Australian Mathematical Society and for the London Mathematical Society, respectively. About a quarter of the present text has been taken from these books, and I thank Cambridge University Press for their permission to use this material. The book has been revised in March 2007. For details see the end of the preface.Comment: This is the revised version published by Geometry & Topology Monographs in March 200

Model theory of partially random structures

Many interactions between mathematical objects, e.g. the interaction between the set of primes and the additive structure of N, can be usefully thought of as random modulo some obvious obstructions. In the first part of this thesis, we document several such situations, show that the randomness in these interactions can be captured using first-order logic, and deduce in consequence many model-theoretic properties of the corresponding structures. The second part of this thesis develops a framework to study the aforementioned situations uniformly, shows that many examples of interest in model theory fit into this framework, and recovers many known model-theoretic phenomena about these examples from our results

On The Table and Under It: Social Negotiation & Drinking Spaces in Frontier Resource Extraction Communities

Current research on frontiers describe these spaces as zones of meeting, interaction, dynamism, and change. Further, the geographic, ecological, economic, and political processes that are inherent within these locales shape them, rendering them far from static. These current scholars of frontier theory have sought to fight the image of frontier spaces as locations needing civilization, which is how they used to be approached. They have also stressed the presence of frontier locales outside of the United States, which was the focus of Frederick Jackson Turner\u27s seminal work. Leonard Thompson and Howard Lamar, two prominent figures in the New West approach to frontier theory, argue that the only effective way to study frontiers is to do so through the use of comparative studies. While comparative studies are common in cultural anthropological research on frontiers in North America, the extant archaeology done has not taken a comparative approach nearly as often. My study takes steps toward reintroducing a comparative approach to frontier archaeology. examine the way that the actions of frontier inhabitants (including negotiation, conflict, and cohesion) combined with geographic and ecological factors within two specific locations: Smuttynose Island, Maine, and Highland City, Montana. to make the comparison across space and time between these two locations, I analyze them through the framework of informal economy, trade and exchange networks and the negotiation of social capital through commensal politics. I argue that the inhabitants of frontier settlements interact with the processes at work within frontier zones in such similar ways that it materializes in the archaeological record. I explore tavern assemblages left behind by these frontier inhabitants, with a specific focus on ceramics and glass. Through an examination of the drinking spaces within both settlements, I shed light on the microeconomics of these two locales and of frontier spaces more broadly

The Sigiriya Royal Gardens. Analysis of the Landscape Architectonic Composition

Besides the efforts that are of descriptive and celebrative nature, studies related to Sri Lanka’s historical built heritage are largely to view material remains in historical, sociological, socio-historical and semiological perspectives. But there is hardly any serious attempt to view such material remains from a technical-analytical approach to understand the compositional aspects of their designs. The 5th century AC royal complex at Sigiriya is no exception in this regard. The enormous wealth of information and the unearthed material remains during more than hundred years of field-based research by several generations of archaeologists at Sigiriya provide ideal opportunity for such an analysis. The present study is, therefore, to fill the gap in research related to Sri Lanka’s historical built heritage in general and to Sigiriya in particular. Therefore the present research attempts to read Sigiriya as a landscape architectonic design to expose its architectonic composition and design instruments. The study which is approached from a technical-analytical point of view follows a methodological framework that is developed at the Landscape Design Department of the Faculty of Architecture at Delft University of Technology. The study reveals that the architectonic design of Sigiriya constitutes multiple design layers and multiple layers of significance with material-spatial-metaphorical-functional coherence, and that it has both general and unique landscape architectonic elements, aspects, characteristics and qualities. The richness of its composition also enables to identify the landscape architectural value of the Sigiriya, which will help re-shape the policies related to conservation and presentation of Sigiriya as a heritage site as well as the protection and management as a green monument. The positive results of the study also underline that the methodology adapted in this research has devised a framework for the study of other examples of historical gardens and landscapes of Sri Lanka, which will eventually provide insight into the typological aspects of the possible Sri Lankan tradition of landscape design

The Sigiriya Royal Gardens:

Besides the efforts that are of descriptive and celebrative nature, studies related to Sri Lanka’s historical built heritage are largely to view material remains in historical, sociological, socio-historical and semiological perspectives. But there is hardly any serious attempt to view such material remains from a technical-analytical approach to understand the compositional aspects of their designs. The 5th century AC royal complex at Sigiriya is no exception in this regard. The enormous wealth of information and the unearthed material remains during more than hundred years of field-based research by several generations of archaeologists at Sigiriya provide ideal opportunity for such an analysis. The present study is, therefore, to fill the gap in research related to Sri Lanka’s historical built heritage in general and to Sigiriya in particular. Therefore the present research attempts to read Sigiriya as a landscape architectonic design to expose its architectonic composition and design instruments. The study which is approached from a technical-analytical point of view follows a methodological framework that is developed at the Landscape Design Department of the Faculty of Architecture at Delft University of Technology. The study reveals that the architectonic design of Sigiriya constitutes multiple design layers and multiple layers of significance with material-spatial-metaphorical-functional coherence, and that it has both general and unique landscape architectonic elements, aspects, characteristics and qualities. The richness of its composition also enables to identify the landscape architectural value of the Sigiriya, which will help re-shape the policies related to conservation and presentation of Sigiriya as a heritage site as well as the protection and management as a green monument. The positive results of the study also underline that the methodology adapted in this research has devised a framework for the study of other examples of historical gardens and landscapes of Sri Lanka, which will eventually provide insight into the typological aspects of the possible Sri Lankan tradition of landscape design

Discourses of Purity in Transcultural Perspective (300–1600)

This volume comprises fifteen articles on the differing functions that purity, impurity, pollution and related categories could fulfil in Asian and European religions and societies of the 3rd to 17th century c.E. They focus processes of religious demarcation and transfer.; Readership: All interested in processes of interaction between societies and inidividuals of different creeds and cultures: historians, anthropologists, theologians

Letter from the Secretary of the Treasury, transmitting a report upon the mineral resources of the states and territories west of the Rocky Mountains.

Mineral Resources West of the Rocky Mountains. [1289] Descriptions of Indians in the various states and territories; historical sketches; the Washoes, Paiutes, and Shoshones of Utah; etc