Hochschild-Serre spectral sequences with coefficients in a seminormed space.

Abdesselam Bouarich

Extracta Mathematicae (2005)

  • Volume: 20, Issue: 3, page 307-340
  • ISSN: 0213-8743

Abstract

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In this paper, we prove the existence of the theory of spectral sequences in the category of real semi normed spaces. Using this theory, we associate to any extension of discrete groups the Hochschild-Serre spectral sequence in bounded cohomology with coefficients. In addition, we give the explicit expression of the first and the second term of this spectral sequence without further hypothesis.

How to cite

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Bouarich, Abdesselam. "Suites spectrales de Hochschild-Serre à coefficients dans un espace semi-normé.." Extracta Mathematicae 20.3 (2005): 307-340. <http://eudml.org/doc/41845>.

@article{Bouarich2005,
author = {Bouarich, Abdesselam},
journal = {Extracta Mathematicae},
keywords = {Topología algebraica; Grupos de transformación; Cohomología de grupos; Sucesión espectral; Seminormas; Hochschild-Serre spectral sequence; bounded cohomology},
language = {fre},
number = {3},
pages = {307-340},
title = {Suites spectrales de Hochschild-Serre à coefficients dans un espace semi-normé.},
url = {http://eudml.org/doc/41845},
volume = {20},
year = {2005},
}

TY - JOUR
AU - Bouarich, Abdesselam
TI - Suites spectrales de Hochschild-Serre à coefficients dans un espace semi-normé.
JO - Extracta Mathematicae
PY - 2005
VL - 20
IS - 3
SP - 307
EP - 340
LA - fre
KW - Topología algebraica; Grupos de transformación; Cohomología de grupos; Sucesión espectral; Seminormas; Hochschild-Serre spectral sequence; bounded cohomology
UR - http://eudml.org/doc/41845
ER -

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