Displaying similar documents to “Remarks on fixed point theorem for inverse limit spaces”

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

Ivan Loncar (1995)

Publicacions Matemàtiques

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In this paper we define a space σ() 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() is a paracompact space, (2) Moreover, if is an approximate sequence of compact (metric) spaces, then σ() is a compact (metric) space (Lemma 2.4). We give the following applications of the space σ(): (3) If is an approximate system of continua, then...