I'm taking a course in algebraic topology, and am a bit stuck on problems that look like they should be comparably easy.

For example, to show that the homomorphisms on Cech homology induced by the identity on a compact space X are all identity maps.

I guess where I'm stuck is that I'm not sure what the induced homomorphisms on Cech homology look like/what they do to an element of the homology group.

Can someone point me in the right direction? Thanks.