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27 de julio de 2024
Weakly additive cohomology.
| Título inglés | Weakly additive cohomology. |
|---|---|
| Título español | Cohomología debilmente aditiva. |
| Autor/es | Spanier, Edwin |
| Organización | Dep. Math. Univ. California-Berkeley, Berkeley (California), Estados Unidos |
| Revista | 0214-1493 |
| Publicación | 1990, 34 (1): 145-150, 5 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | In this paper the concept of weakly additive cohomology theory is introduced as a variant of the known concept of additive cohomology theory. It is shown that for a closed A in X the singular homology of the pair (X, X-A) (with some fixed cohomology group) regarded as a furcter of A is a weakly additive cohomology theory on any collectionwise normal space X. Furthermore, every compactly supported cohomology theory is weakly additive. The main result is a comparison theorem for two cohomology theories on X both of which are additive or both of which are weakly additive which recomposes the previously known comparison theorems. |
| Clasificación UNESCO | 121002 |
| Palabras clave español | Cohomología |
 Acceso al artículo completo |
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