== Merging with inclusion map == 

 I disagree with a merge. Yes, these are related functions, actually both of them work by f(x)=x. However, the two articles look at the matter from a very different perspective. Typically one uses inclusion maps when one thinks of embedding a space into another, bigger space. The identity function on the other hand shows up when one deals with automorphisms of a given space, and related business. That is to say, it is true that both the identity function and the inclusion map have the forula f(x)=x, but that's all they have in common.