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This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances. Beginning with an investigation of regularity phenomena for single diffeomorphisms, the book goes on to describes a circle of ideas surrounding Filipkiewicz's Theorem, which recovers the smooth structure of a manifold from its full diffeomorphism group. Topics covered include the simplicity of homeomorphism groups, differentiability of continuous Lie group actions, smooth conjugation of diffeomorphism groups, and the reconstruction of spaces from group actions. Various classical and modern tools are developed for controlling the dynamics of general finitely generated group actions on one-dimensional manifolds, subject to regularity bounds, including material on Thompson's group F, nilpotent groups, right-angled Artin groups, chain groups, finitely generated groups with prescribed critical regularities, and applications to foliation theory and the study of mapping class groups. The book will be of interest to researchers in geometric group theory.
The key idea in geometric group theory is to study infinite groups by endowing them with a metric and treating them as geometric spaces. This applies to many groups naturally appearing in topology, geometry, and algebra, such as fundamental groups of manifolds, groups of matrices with integer coefficients, etc. The primary focus of this book is to cover the foundations of geometric group theory, including coarse topology, ultralimits and asymptotic cones, hyperbolic groups, isoperimetric inequalities, growth of groups, amenability, Kazhdan's Property (T) and the Haagerup property, as well as their characterizations in terms of group actions on median spaces and spaces with walls. The book co...
Friday, December 19, 1777, dawned cold and windy. Fourteen thousand Continental Army soldiers tramped from dawn to dusk along the rutted Pennsylvania roads from Gulph Mills to Valley Forge, the site of their winter encampment. The soldiers' arrival was followed by the army's wagons and hundreds of camp women. Following the Drum tells the story of the forgotten women who spent the winter of 1777-78 with the Continental Army at Valley Forge--from those on society's lowest rungs to ladies on the upper echelons. Impoverished and clinging to the edge of survival, many camp women were soldiers' wives who worked as the army's washers, nurses, cooks, and seamstresses. Other women at the encampment w...
1001 Children's Books You Must Read Before You Grow Up is the perfect introduction to the very best books of childhood: those books that have a special place in the heart of every reader. It introduces a wonderfully rich world of literature to parents and their children, offering both new titles and much-loved classics that many generations have read and enjoyed. From wordless picture books and books introducing the first words and sounds of the alphabet through to hard-hitting and edgy teenage fiction, the titles featured in this book reflect the wealth of reading opportunities for children.Browsing the titles in 1001 Children's Books You Must Read Before You Grow Up will take you on a journey of discovery into fantasy, adventure, history, contermporary life, and much more. These books will enable you to travel to some of the most famous imaginary worlds such as Narnia, Middle Earth, and Hogwart's School. And the route taken may be pretty strange, too. You may fall down a rabbit hole, as Alice does on her way to Wonderland, or go through the back of a wardrobe to reach the snowy wastes of Narnia.
Western music reached China nearly four centuries ago, with the arrival of Christian missionaries, yet only within the last century has Chinese music absorbed its influence. As China and the West demonstrates, the emergence of “Westernized” music from China—concurrent with the technological advances that have made global culture widely accessible—has not established a prominent presence in the West. China and the West brings together essays on centuries of Sino-Western musical exchange by musicologists, ethnomusicologists, and music theorists from around the world. It opens with a look at theoretical approaches of prior studies of musical encounters and a comprehensive survey of the ...
Love and Life Behind the Purdah (1901) is a collection of short stories by Indian writer, lawyer, and social reformer Cornelia Sorabji. Raised by Christian missionaries, Sorabji trained as a lawyer at Oxford University before returning to India to work with women and orphans across the country. Her fictional work illustrates a creative imagination and well-rounded sense of the diverse political and religious identities that make up the population of India. In her first published book, Sorabji spins tales of women and children from varied sociopolitical backgrounds. Writing on the Hindu purdahnashin--women cut off from the outside world--Sorabji drew on her experience as a litigator represent...
"Report of the Dominion fishery commission on the fisheries of the province of Ontario, 1893", issued as vol. 26, no. 7, supplement.