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Let be the ech homology functor with compact carriers and coefficients in the field of rational numbers from the category of Hausdorff topological spaces and continuous maps to the category of graded vector spaces and linear maps of degree zero.
Let H be the C̆ech homology functor with compact carriers and coefficients in the field of rational numbers K from the category of Hausdorff topological spaces and continuous maps to the category of graded vector spaces and linear maps of degree zero.
Let H* be the Čech homology functor with compact carriers and coefficients in the field of rational numbers ℚ from the category of Hausdorff topological spaces and continuous maps to the category of graded vector spaces and linear maps of degree zero.
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