Cohomology theories on spaces

Spanier, E.

doi:10.1090/S0002-9947-1987-0879567-3

Cohomology theories on spaces
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by E. Spanier

Trans. Amer. Math. Soc. 301 (1987), 149-161

DOI: https://doi.org/10.1090/S0002-9947-1987-0879567-3

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Abstract:

In this paper a previously proven uniqueness theorem for nonnegative cohomology theories on the same space is extended to cohomology theories on the same finite-dimensional space. In this form it is applicable to extraordinary cohomology theories. An example is given to show that the theorem does not hold without finite dimensionality.

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