The Freudenthal space for approximate systems of compacta and some applications.

Título inglés	The Freudenthal space for approximate systems of compacta and some applications.
Título español	El espacio de Freudenthal para sistemas aproximados de compactos y algunas aplicaciones.
Autor/es	Loncar, Ivan
Organización	Fak. Organiz. Inform., Varazdin, Croacia
Revista	0214-1493
Publicación	1995, 39 (2): 215-232, 17 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	In this paper we define a space σ(X) for approximate systems of compact spaces. The construction is due to H. Freudenthal for usual inverse sequences [4, p. 153–156]. We establish the following properties of this space: (1) The space σ(X) is a paracompact space, (2) Moreover, if X is an approximate sequence of compact (metric) spaces, then σ(X) is a compact (metric) space (Lemma 2.4). We give the following applications of the space σ(X): (3) If X is an approximate system of continua, then X = limX is a continuum (Theorem 3.1), (4) If X is an approximate system of hereditarily unicoherent spaces, then X = limX is hereditarily unicoherent (Theorem 3.6), (5) If X is an approximate system of trees with monotone onto bonding mappings, then X = limX is a tree (Theorem 3.13).
Clasificación UNESCO	121001
Palabras clave español	Espacio topológico compacto ; Espacios métricos ; Espacio metrizable compacto
Código MathReviews	MR1370882
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