# Weakly additive cohomology.

Publicacions Matemàtiques (1990)

- Volume: 34, Issue: 1, page 145-150
- ISSN: 0214-1493

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topSpanier, Edwin. "Weakly additive cohomology.." Publicacions Matemàtiques 34.1 (1990): 145-150. <http://eudml.org/doc/41120>.

@article{Spanier1990,

abstract = {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.},

author = {Spanier, Edwin},

journal = {Publicacions Matemàtiques},

keywords = {Cohomología; homomorphism between cohomology theories; weakly additive; para-compact supports; n-equivalence},

language = {eng},

number = {1},

pages = {145-150},

title = {Weakly additive cohomology.},

url = {http://eudml.org/doc/41120},

volume = {34},

year = {1990},

}

TY - JOUR

AU - Spanier, Edwin

TI - Weakly additive cohomology.

JO - Publicacions Matemàtiques

PY - 1990

VL - 34

IS - 1

SP - 145

EP - 150

AB - 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.

LA - eng

KW - Cohomología; homomorphism between cohomology theories; weakly additive; para-compact supports; n-equivalence

UR - http://eudml.org/doc/41120

ER -

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