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arXiv · 1612.05137

Arcs, hypercubes, and graphs as quotients of projective Fra\"iss\'e limits

Gianluca Basso·Riccardo Camerlo
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Abstract

We establish some basic properties of quotients of projective Fra\"iss\'e limits and exhibit some classes of compact metric spaces that are the quotient of a projective Fra\"iss\'e limit of a projective Fra\"iss\'e family in a finite language. We prove the result for the arcs directly, and by applying some closure properties we obtain all hypercubes and graphs as well.

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Gianluca Basso, Riccardo Camerlo. 2016-12-15. Arcs, hypercubes, and graphs as quotients of projective Fra\"iss\'e limits. https://doi.org/10.1515/ms-2017-0051

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