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Preprint Number 774
774. Manuel Bodirsky, Michael Pinsker, András Pongrácz
Projective clone homomorphisms
Submission date: 16 September 2014.
It is known that a countable ω-categorical structure interprets all finite structures primitively positively if and only if its polymorphism clone maps to the clone of projections on a two-element set via a continuous clone homomorphism. We investigate the relationship between the existence of a clone homomorphism to the projection clone, and the existence of such a homomorphism which is continuous and thus meets the above criterion.
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