On the fine structure of the polygroup blow-up
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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 Ø-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.
KeywordsSimple theories Group configuration Polygroups
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