Continuous Bounded Cohomology of Locally Compact Groups (Record no. 12389)

MARC details
000 -LEADER
fixed length control field 03287nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-3-540-44962-1
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190213151932.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s2001 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540449621
-- 978-3-540-44962-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/b80626
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA612-612.8
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBPD
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT038000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBPD
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.2
Edition number 23
245 10 - TITLE STATEMENT
Title Continuous Bounded Cohomology of Locally Compact Groups
Medium [electronic resource] /
Statement of responsibility, etc edited by Nicolas Monod.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2001.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 220 p.
Other physical details online resource.
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-- txt
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-- computer
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-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 1758
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction; Chapter I: Banach modules, $Linfty$ spaces: Banach modules -- $L^/infty$ spaces -- Integration. Chapter II: Relative injectivity and amenable actions: Relative injectivity -- Amenability and amenable actions. Chapter III: Definition and characterization of continuous bounded cohomology: A naive definition -- The functorial characterization -- Functoriality -- Continuous cohomology and the comparison map. Chapter IV: Cohomological techniques: General techniques -- Double ergodicity -- Hochschild-Serre spectral Sequence. Chapter V: Towards applications: Interpretations of $(/rm EH)^2 (/rm cb)$ -- General irreducible lattices. Bibliography. Index.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic topology.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Group theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic Topology.
-- http://scigraph.springernature.com/things/product-market-codes/M28019
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups, Lie Groups.
-- http://scigraph.springernature.com/things/product-market-codes/M11132
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Group Theory and Generalizations.
-- http://scigraph.springernature.com/things/product-market-codes/M11078
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Monod, Nicolas.
Relator term editor.
Relator code edt
-- http://id.loc.gov/vocabulary/relators/edt
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783662215005
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783540420545
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 1758
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/b80626
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