Bounded cohomology of discrete groups /

" Bounded cohomology of discrete groups / "
Roberto Frigerio.

Document Type	:	BL
Record Number	:	850297
Main Entry	:	Frigerio, Roberto
Title & Author	:	Bounded cohomology of discrete groups /\ Roberto Frigerio.
Publication Statement	:	Providence, Rhode Island :: American Mathematical Society,, [2017]
	:	, ©2017
Series Statement	:	Mathematical surveys and monographs ;; volume 227
Page. NO	:	xvi, 193 pages :: illustrations ;; 27 cm.
ISBN	:	1470441462
	:	: 9781470441463
Bibliographies/Indexes	:	Includes bibliographical references and index.
Contents	:	Introduction -- (Bounded) cohomology of groups -- (Bounded) cohomology of groups in low degree -- Amenability -- (Bounded) group cohomology via resolutions -- Bounded cohomology of topological spaces -- ℓ¹-homology and duality -- Simplicial volume -- The proportionality principle -- Additivity of the simplicial volume -- Group actions on the circle -- The Euler class of sphere bundles -- Milnor-Wood inequalities and maximal representations -- The bounded Euler class in higher dimensions and the Chern conjecture.
Subject	:	Algebra, Homological.
Subject	:	Homology theory.
Subject	:	Intersection homology theory.
Subject	:	Algebra, Homological.
Subject	:	Algebraic topology-- Homology and cohomology theories-- Singular theory.
Subject	:	Category theory; homological algebra-- Homological algebra-- Other (Colo.)homology theories.
Subject	:	Differential geometry-- Global differential geometry-- Global geometric and topological methods (\|#x00C3;\|#x00A1; la Gromov); differential geometric analysis on metric spaces.
Subject	:	Dynamical systems and ergodic theory-- Low-dimensional dynamical systems-- Maps of the circle.
Subject	:	Dynamical systems and ergodic theory-- Smooth dynamical systems: general theory-- Dynamics of group actions other than $.
Subject	:	Group theory and generalizations-- Connections with homological algebra and category theory-- Cohomology of groups.
Subject	:	Homology theory.
Subject	:	Intersection homology theory.
Subject	:	Manifolds and cell complexes-- Differential topology-- Characteristic classes and numbers.
Subject	:	Manifolds and cell complexes-- Low-dimensional topology-- Topological methods in group theory.
Subject	:	Manifolds and cell complexes-- Topological manifolds-- Algebraic topology of manifolds.
Dewey Classification	:	‭512/.55‬
LC Classification	:	‭QA612.3‬‭.F75 2017‬
NLM classification	:	‭18G60‬20J0655N1057N6537E1037C8553C2357M0757R20msc
	:	‭57R20.‬msc

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