Inverse sequences with proper bonding maps

• Autorzy: Tomás Fernández-Bayort , Antonio Quintero
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18A30: Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
• 54D40: Remainders
• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 54F15: Continua and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 119
• Numer: 2
• Strony: 301-319

Daty

wydano

2010

Twórcy

autor

Tomás Fernández-Bayort

• C.G.A. (Centro de Gestión Avanzado), Consejería de Educación, Junta de Andalucía, Edificio Torretriana, planta 1, 41071 Sevilla, Spain

autor

Antonio Quintero

• Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apartado 1160, 41080 Sevilla, Spain

Identyfikatory

DOI

10.4064/cm119-2-9