Geodesic
Foundations of the theory of bounded cohomology
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part V, Tome 143 (1985), pp. 69-109

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we give a new approach to the theory of bounded cohomology. The ideas of relative homological algebra, modified so that they are based on a natural seminorm in the bounded cohomology, play a central role in this approach. Moreover, a new proof is given of the vanishing theorem in the bounded cohomology of simply connected spaces, and also an analog of Leray's theorem on coverings in the theory of bounded cohomology. 
@article{ZNSL_1985_143_a4,
     author = {N. V. Ivanov},
     title = {Foundations of the theory of bounded cohomology},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {69--109},
     publisher = {mathdoc},
     volume = {143},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_143_a4/}
}
TY  - JOUR
AU  - N. V. Ivanov
TI  - Foundations of the theory of bounded cohomology
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1985
SP  - 69
EP  - 109
VL  - 143
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1985_143_a4/
LA  - ru
ID  - ZNSL_1985_143_a4
ER  - 
%0 Journal Article
%A N. V. Ivanov
%T Foundations of the theory of bounded cohomology
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 69-109
%V 143
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_143_a4/
%G ru
%F ZNSL_1985_143_a4
N. V. Ivanov. Foundations of the theory of bounded cohomology. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part V, Tome 143 (1985), pp. 69-109. http://geodesic.mathdoc.fr/item/ZNSL_1985_143_a4/