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This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.
This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.
The description for this book, K-Theory of Forms. (AM-98), will be forthcoming.
In this unprecedented study, leading scholars and emerging voices from around the world consider how race and ethnicity continue to shape our everyday lives, even as digital technology seems to promise a release from our "real" social identities. How do people use the new expressive features of digital technologies to experience, represent, discuss, and debate racial and ethnic identity? How have digital technologies or digital spaces become racialized? How have the existing vernacular traditions, or folklore, surrounding identity been reshaped in digital spaces? And how have new traditions emerged? This interdisciplinary volume of essays explores the role of traditional culture in the evolving expressions, practices, and images of race and ethnicity in the digital age. The work examines cultural forms in exclusively digital environments as well as in the hybrid environments created by mobile technologies, where real life becomes overlaid with digital content. Insights from academics across disciplines-including anthropology, communications, folkloristics, art, and sociology-consider the interplay between race/ethnicity, everyday vernacular culture, and digital technologies. Six sections explore traditional cultural affordances of technology, folklore and digital applications, visual cultures of race and ethnicity, racism and exclusion online, political activism and race, and concluding observations. The book covers technologies such as vlogs, video games, digital photography, messaging applications, social media sites, and the Internet. Reveals how "memes" and "viral videos" represent, discuss, or negotiate ideas about racial and ethnic identity Discusses how the human body is racialized in digital image, video, and photography, and how technologies and digital spaces themselves come to be racialized Examines the interplay of digital narratives with political movements for civil rights and social justice Explores patterns and practices of racist and xenophobic exclusion in both online and offline spaces
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