Homotopical properties of upper semifinite hyperspaces of compacta



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Morón, Manuel A. and González Gómez, A. (2008) Homotopical properties of upper semifinite hyperspaces of compacta. Topology and its Applications, 155 (9). pp. 972-981. ISSN 0166-8641

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Official URL: http://www.sciencedirect.com/science/article/pii/S0166864107004294


In this paper we study homotopical properties of a special neighborhood system, which is denoted by {Uε} >0, for the canonical embedding of a compact metric space in its upper semifinite hyperspace to get results in the shape theory for compacta. We also point out that there are spaces with the shape of finite discrete spaces and having not the homotopy type of any T1-space

Item Type:Article
Uncontrolled Keywords:Upper semifinite topology; Compactness; Shape; Homotopy
Subjects:Sciences > Mathematics > Topology
ID Code:20314
Deposited On:07 Mar 2013 12:37
Last Modified:12 Dec 2018 15:13

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