The Projective Fraïssé Limit of the Family of all Connected Finite Graphs with Confluent Epimorphisms
Abstract
We investigate the projective Fraïssé family of finite connected graphs with confluent epimorphisms and the continuum obtained as the topological realization of its projective Fraïssé limit. This continuum was unknown before. We prove that it is indecomposable, but not hereditarily indecomposable, one-dimensional, Kelley, pointwise self-homeomorphic, but not homogeneous. It is hereditarily unicoherent and each point is the top of the Cantor fan. Moreover, the universal solenoid, the universal pseudo-solenoid, and the pseudo-arc may be embedded in it.
Recommended Citation
W. J. Charatonik et al., "The Projective Fraïssé Limit of the Family of all Connected Finite Graphs with Confluent Epimorphisms," Transactions of the American Mathematical Society, vol. 378, no. 2, pp. 1081 - 1126, American Mathematical Society, Feb 2025.
The definitive version is available at https://doi.org/10.1090/tran/9258
Department(s)
Mathematics and Statistics
Keywords and Phrases
confluent maps; continuum theory; homogeneous; Projective Fraïssé limit; topological graphs
International Standard Serial Number (ISSN)
1088-6850; 0002-9947
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 American Mathematical Society, All rights reserved.
Publication Date
01 Feb 2025
