On the fine structure of the polygroup blow-up

نویسنده

  • Itay Ben-Yaacov
چکیده

We study in detail the blow-up procedure described in [BTW01]. We obtain a structure theorem for coreless polygroups as a double quotient space G/H, and a polygroup chunk theorem. Seeking to remove the arbitrary parameter needed for the blow-up, we find canonical ∅-invariant groupoids G > H analogous to G and H above, and show that H contains precisely all the arbitrary choices related to the blow-up.

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عنوان ژورنال:
  • Arch. Math. Log.

دوره 42  شماره 

صفحات  -

تاریخ انتشار 2003