Geodesic
Inverse sequences with proper bonding maps
Tomás Fernández-Bayort1 ; Antonio Quintero2
1 C.G.A. (Centro de Gestión Avanzado) Consejería de Educación, Junta de Andalucía Edificio Torretriana, planta 1 41071 Sevilla, Spain
2 Departamento de Geometría y Topología Facultad de Matemáticas Universidad de Sevilla Apartado 1160 41080 Sevilla, Spain
Colloquium Mathematicum, Tome 119 (2010) no. 2, pp. 301-319 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Some topological properties of inverse limits of sequences with proper bonding maps are studied. We show that (non-empty) limits of euclidean half-lines are one-ended generalized continua. We also prove the non-existence of a universal object for such limits with respect to closed embeddings. A further result states that limits of end-preserving sequences of euclidean lines are two-ended generalized continua.
DOI : 10.4064/cm119-2-9
Keywords: topological properties inverse limits sequences proper bonding maps studied non empty limits euclidean half lines one ended generalized continua prove non existence universal object limits respect closed embeddings further result states limits end preserving sequences euclidean lines two ended generalized continua

Tomás Fernández-Bayort 1 ; Antonio Quintero 2

1 C.G.A. (Centro de Gestión Avanzado) Consejería de Educación, Junta de Andalucía Edificio Torretriana, planta 1 41071 Sevilla, Spain
2 Departamento de Geometría y Topología Facultad de Matemáticas Universidad de Sevilla Apartado 1160 41080 Sevilla, Spain 
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Tomás Fernández-Bayort; Antonio Quintero. Inverse sequences with proper bonding maps. Colloquium Mathematicum, Tome 119 (2010) no. 2, pp. 301-319. doi: 10.4064/cm119-2-9

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