Algebraic & Geometric Topology Volume 23, issue 2 (2023)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Bounded cohomology of classifying spaces for families of subgroups

Kevin Li

Algebraic & Geometric Topology 23 (2023) 933–962

DOI: 10.2140/agt.2023.23.933

Bibliography

1	J A Ariciniega-Nevárez, J L Cisneros-Molina, L J Sánchez Saldaña, Relative group homology theories with coefficients and the comparison homomorphism, Quaest. Math. 44 (2021) 1107 MR4316637
2	R Bieri, B Eckmann, Relative homology and Poincaré duality for group pairs, J. Pure Appl. Algebra 13 (1978) 277 MR509165
3	M Blank, Relative bounded cohomology for groupoids, Geom. Dedicata 184 (2016) 27 MR3547780
4	M Fluch, On Bredon (co-)homological dimensions of groups, PhD thesis, University of Southampton (2011)
5	F Franceschini, A characterization of relatively hyperbolic groups via bounded cohomology, Groups Geom. Dyn. 12 (2018) 919 MR3845713
6	R Frigerio, Bounded cohomology of discrete groups, 227, Amer. Math. Soc. (2017) MR3726870
7	M Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. 56 (1982) 5 MR686042
8	G C Hruska, Relative hyperbolicity and relative quasiconvexity for countable groups, Algebr. Geom. Topol. 10 (2010) 1807 MR2684983
9	N V Ivanov, Foundations of the theory of bounded cohomology, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 143 (1985) 69, 177 MR806562
10	R Ji, C Ogle, B W Ramsey, Relative property A and relative amenability for countable groups, Adv. Math. 231 (2012) 2734 MR2970464
11	B E Johnson, Cohomology in Banach algebras, 127, Amer. Math. Soc. (1972) MR0374934
12	C Löh, R Sauer, Bounded cohomology of amenable covers via classifying spaces, Enseign. Math. 66 (2020) 151 MR4162286
13	W Lück, Survey on classifying spaces for families of subgroups, from: "Infinite groups: geometric, combinatorial and dynamical aspects" (editors L Bartholdi, T Ceccherini-Silberstein, T Smirnova-Nagnibeda, A Zuk), Progr. Math. 248, Birkhäuser (2005) 269 MR2195456
14	E Martínez-Pedroza, A note on fine graphs and homological isoperimetric inequalities, Canad. Math. Bull. 59 (2016) 170 MR3451908
15	E Martínez-Pedroza, P Przytycki, Dismantlable classifying space for the family of parabolic subgroups of a relatively hyperbolic group, J. Inst. Math. Jussieu 18 (2019) 329 MR3915290
16	S Matsumoto, S Morita, Bounded cohomology of certain groups of homeomorphisms, Proc. Amer. Math. Soc. 94 (1985) 539 MR787909
17	I Mineyev, Straightening and bounded cohomology of hyperbolic groups, Geom. Funct. Anal. 11 (2001) 807 MR1866802
18	I Mineyev, Bounded cohomology characterizes hyperbolic groups, Q. J. Math. 53 (2002) 59 MR1887670
19	I Mineyev, A Yaman, Relative hyperbolicity and bounded cohomology, preprint (2007)
20	N Monod, Continuous bounded cohomology of locally compact groups, 1758, Springer (2001) MR1840942
21	N Monod, An invitation to bounded cohomology, from: "International Congress of Mathematicians" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc. (2006) 1183 MR2275641
22	N Monod, S Popa, On co-amenability for groups and von Neumann algebras, C. R. Math. Acad. Sci. Soc. R. Can. 25 (2003) 82 MR1999183
23	M Moraschini, G Raptis, Amenability and acyclicity in bounded cohomology, Rev. Mat. Iberoam. (2023)
24	B E A Nucinkis, Cohomology relative to a G–set and finiteness conditions, Topology Appl. 92 (1999) 153 MR1669819