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Weakly additive cohomology
Spanier, E

Data: 1990
Resum: 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 pasi (X, X - A) (with some fixed coefficient gropu) regarded as a furcter of A is a weakly additive cohomology theory on any collectionwise normal space X. Fiirthermore, 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 ercomposses the previously known compauson theorems.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 34 n. 1 (1990) p. 145-150, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_34190_11

6 p, 173.3 KB

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