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Petar Markovic: Colored edge theory, Part 3

iCal fájl letöltése
Szerda, 2. November 2022, 10:10 - 11:40
In this, third lecture in the series, we will define the thin majority and affine edges, and prove their basic properties. In particular, when we focus on one thin majority (resp., affine) edge $ab$ (directed from $a$ to $b$), we can find a ternary term which satisfies one-half of the majority (Mal'cev) equations on $a$ and $b$, namely those whose result is $b$. Next, we will prove the existence of several useful terms, such as the term $p(x,y)$ which is a different projection on two directed edges of different kinds (the term depends on the edges in question). This term will be useful for rectangularity proofs on compatible relations. Finally, we will migrate from finitely many finite smooth algebras to a pseudovariety, using two different ways, the idea of Bulatov and the Taylor minimal approach.

The lecture will be in the Riesz lecture room.

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