Peter Topping – författare

Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincaré conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, core elements of the theory are discussed such as consequences of various forms of maximum principle, issues related to existence theory, and basic properties of singularities in the flow. A detailed exposition of Perelman's entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a 'tangent' flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton's theorem that a closed three-dimensional manifold whichcarries a metric of positive Ricci curvature is a spherical space form.

Reprint of another classic Neolithic Studies Group volume. 'It is a sign of the intellectual health of a specialist study group that its deliberations can generate collections of papers of general interest. The topical issue of landscape is addressed, although with the added complication of attempting to focus on the domestic as opposed to ceremonial aspects of Neolithic life'.EPUB3: Reflowable

These papers come from a conference on Neolithic Causewayed Enclosures in Europe held in London in 1999. They present a series of snapshots of some of the sites and regions at the forefront of current research on causewayed enclosures in Europe, and as such are a complement to the Royal Commission on the Historical Monuments of England (RCHME) project which has systematically recorded all known Neolithic enclosures in England by both analytical topographic survey techniques and aerial transcription. The detailed regional data collected by the RCHME project has allowed a radical reinterpretation of these sites and the recognition that there are regional groups of enclosures. This series of papers serves to broaden the discussion about the structure and form of causewayed monuments beyond lowland England, looking at a wide geographical range of sites across central Europe, as well as considering some sites which do not conform to the traditional type but which have been proved by excavation to have a Neolithic context. This collection of papers provides a long-awaited and important addition to the debate on these enigmatic prehistoric sites.EPUB3: Reflowable

From Mine to User: Production and Procurement Systems of Siliceous Rocks in the European Neolithic and Bronze Age presents the papers from Session XXXIII of the 18th UISPP World Congress (Paris, June 2018). 23 authors contribute nine papers from Parts 1 and 2 of the Session. The first session ‘Siliceous rocks: procurement and distribution systems’ was aimed at analysing one of the central research issues related to mining, i.e. the production systems and the diffusion of mining products. The impact of extraction on the environment, group mobility and the numbers involved in the exploitation phase were considered; mining products were also examined with a view to identifying local and imported/exported products and the underlying social organization relating to the different fields of activity. The second session ‘Flint mines and chipping floors from prehistory to the beginning of the nineteenth century’ focused on knapping activities. The significance of the identification of knapping workshops in the immediate vicinity of mine shafts and of their presence in villages as well as in intermediary places between the two was considered in the analysis of chaîne opératoire sequences. The potential of product quality and artefact distribution to contribute to the understanding of the social organisation of the communities being studied was also examined.