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Titlebook: Continuous Bounded Cohomology of Locally Compact Groups; Nicolas Monod Book 2001 Springer-Verlag Berlin Heidelberg 2001 Bounded cohomology

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發(fā)表于 2025-3-21 16:36:30 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Continuous Bounded Cohomology of Locally Compact Groups
編輯Nicolas Monod
視頻videohttp://file.papertrans.cn/237/236987/236987.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Continuous Bounded Cohomology of Locally Compact Groups;  Nicolas Monod Book 2001 Springer-Verlag Berlin Heidelberg 2001 Bounded cohomology
描述Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology. However, the latter has remained by and large intractable. This monograph introduces the functorial study of the continuous bounded cohomology for topological groups, with coefficients in Banach modules. The powerful techniques of this more general theory have successfully solved a number of the original problems in bounded cohomology. As applications, one obtains, in particular, rigidity results for actions on the circle, for representations on complex hyperbolic spaces and on Teichmüller spaces. A special effort has been made to provide detailed proofs or references in quite some generality.
出版日期Book 2001
關(guān)鍵詞Bounded cohomology; Cohomology; Lattice; continuous cohomology; homology; lattices in Lie groups; rigidity
版次1
doihttps://doi.org/10.1007/b80626
isbn_softcover978-3-540-42054-5
isbn_ebook978-3-540-44962-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2001
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5#
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Lecture Notes in Mathematicshttp://image.papertrans.cn/c/image/236987.jpg
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https://doi.org/10.1007/b80626Bounded cohomology; Cohomology; Lattice; continuous cohomology; homology; lattices in Lie groups; rigidity
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978-3-540-42054-5Springer-Verlag Berlin Heidelberg 2001
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Culminating Lessons, Moving Forwardnd surprising theorems on the geometry of manifolds. This cohomology H. .(.) is defined exactly like usual singular cohomology, except that all cochains are required to be bounded. Similarly, one can define for a group Г the bounded cohomology H. .(Г) by the usual inhomogeneous complex with the only
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Culminating Lessons, Moving Forwardinuous bounded cohomology will be formulated in a homological language for which the fundamental objects are various types of .. Whenever available, spaces of . . type axe distinguished representatives of the latter.
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