Shelah's materialize vs. realize;note: tags are badly chosen due to the lack of them

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Can someone please explain to me in some detail the exact difference between materialize and realize for a Galois type $p$? Esp. is realize a special case for materialize? Why is it so? What is the difference between $gtp(a,M,N)$ and $tp(a,M,N)$? The relevant definitions are here. Search for the keywords materialize and gtp in your browser.