Ganea term for CCG-homology of crossed modules.

Teimuraz Pirashvili

Extracta Mathematicae (2000)

  • Volume: 15, Issue: 1, page 231-235
  • ISSN: 0213-8743

Abstract

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In [2] an internal homology theory of crossed modules was defined (CCG-homology for short), which is very much related to the homology of the classifying spaces of crossed modules ([5]). The goal of this note is to construct a low-dimensional homology exact sequence corresponding to a central extension of crossed modules, which is quite similar to the one constructed in [3] for group homology.

How to cite

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Pirashvili, Teimuraz. "Ganea term for CCG-homology of crossed modules.." Extracta Mathematicae 15.1 (2000): 231-235. <http://eudml.org/doc/38757>.

@article{Pirashvili2000,
abstract = {In [2] an internal homology theory of crossed modules was defined (CCG-homology for short), which is very much related to the homology of the classifying spaces of crossed modules ([5]). The goal of this note is to construct a low-dimensional homology exact sequence corresponding to a central extension of crossed modules, which is quite similar to the one constructed in [3] for group homology.},
author = {Pirashvili, Teimuraz},
journal = {Extracta Mathematicae},
keywords = {Teoría de categorías; Algebra homológica; Módulos cruzados; Functores; homology exact sequence; central extension; crossed modules},
language = {eng},
number = {1},
pages = {231-235},
title = {Ganea term for CCG-homology of crossed modules.},
url = {http://eudml.org/doc/38757},
volume = {15},
year = {2000},
}

TY - JOUR
AU - Pirashvili, Teimuraz
TI - Ganea term for CCG-homology of crossed modules.
JO - Extracta Mathematicae
PY - 2000
VL - 15
IS - 1
SP - 231
EP - 235
AB - In [2] an internal homology theory of crossed modules was defined (CCG-homology for short), which is very much related to the homology of the classifying spaces of crossed modules ([5]). The goal of this note is to construct a low-dimensional homology exact sequence corresponding to a central extension of crossed modules, which is quite similar to the one constructed in [3] for group homology.
LA - eng
KW - Teoría de categorías; Algebra homológica; Módulos cruzados; Functores; homology exact sequence; central extension; crossed modules
UR - http://eudml.org/doc/38757
ER -

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