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Projective Fra\'iss\'e limits of trees with confluent epimorphisms

Autor: Charatonik, Włodzimierz J., Kwiatkowska, Aleksandra, Roe, Robert P., Yang, Shujie

We continue the study of projective Fra\"iss\'e limits developed by Irwin-Solecki and Panagiotopoulos-Solecki by investigating families of epimorphisms between finite trees and finite rooted trees. Ideas of monotone, confluent, and light mappings fro

Externí odkaz: http://arxiv.org/abs/2312.16915

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Projective Fra\'{\i}ss\'{e} limits of trees

Autor: Charatonik, Włodzimierz J., Roe, Robert P

The following paper has been withdrawn from consideration for publication because there are mistakes. In particular, Theorem 3.9 does not hold. Examples were found of finite trees with monotone epimorphisms which do not amalgamate. Further, finite ro

Externí odkaz: http://arxiv.org/abs/2212.05167

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The projective Fra\'{\i}ss\'{e} limit of the family of all connected finite graphs with confluent epimorphisms

Autor: Charatonik, Włodzimierz J., Kwiatkowska, Aleksandra, Roe, Robert P.

We investigate the projective Fra\"{\i}ss\'e family of finite connected graphs with confluent epimorphisms and the continuum obtained as the topological realization of its projective Fra\"{\i}ss\'e limit. This continuum was unknown before. We prove t

Externí odkaz: http://arxiv.org/abs/2206.12400

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