Geodesic
Simplicial and Homotopical Cohomology of Polyhedra
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 413-423

Voir la notice de l'article provenant de la source Cambridge University Press

It is well known that, on the category of finite polyhedra, any two cohomology theories, satisfying the Eilenberg-Steenrod axioms, are isomorphic. Examples of such theories are simplicial cohomology and homotopical cohomology (the latter is defined by means of homotopy classes of maps into Eilenberg-MacLane spaces). In the case of polyhedra, using triple sequences and spectral sequences, one obtains a deep insight into the relationship between general cohomology theories (without the dimension axiom) and ordinary simplicial cohomology (1, p. 66). As a corollary the abovementioned uniqueness of cohomology theories satisfying the dimension axiom is obtained. 
Stamm, Emil. Simplicial and Homotopical Cohomology of Polyhedra. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 413-423. doi: 10.4153/CJM-1966-044-2
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