I am looking at the definition of the characteristic numbers from the wikipedia(adsbygoogle = window.adsbygoogle || []).push({});

https://en.wikipedia.org/wiki/Characteristic_class#Characteristic_numbers

"one can pair a product of characteristic classes of total degreenwith the fundamental class"

I am not sure how is this paring defined here? I know that for the de Pham cohomology the pairing could be defined by integrating differential forms over the manifold. But here, the definition does not need de Pham cohomology, right?

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# A Is there a natural paring between homology and cohomology?

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