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
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