On totally free crossed modules
| Autor: | M. Ladra, A. R.-Grandjean |
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| Rok vydání: | 1998 |
| Předmět: | |
| Zdroj: | Glasgow Mathematical Journal. 40:323-332 |
| ISSN: | 1469-509X 0017-0895 |
| DOI: | 10.1017/s0017089500032675 |
| Popis: | In [10] we associate to a crossed module (T, G, მ) an invariant abelian crossed module H2(T, G, მ). The construction uses presentations by Set-free crossed modules. Now, Set-free crossed modules are special cases of totally free crossed modules, which are algebraic models of 2-dimensional CW complexes used by several authors (see [1] and [6]). The aim of this paper is to show that H2(T, G, მ) can also be constructed from presentations by arbitrary totally free crossed modules. |
| Databáze: | OpenAIRE |
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