Alonso Morón, ManuelGonzález Gómez, A.2023-06-202023-06-202008Alonso Morón, M., González Gómez, A. «Homotopical Properties of Upper Semifinite Hyperspaces of Compacta». Topology and Its Applications, vol. 155, n.o 9, abril de 2008, pp. 972-81. DOI.org (Crossref), https://doi.org/10.1016/j.topol.2007.12.011.0166-864110.1016/j.topol.2007.12.011https://hdl.handle.net/20.500.14352/50508In 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-spaceengjournal articlehttps//doi.org/10.1016/j.topol.2007.12.011http://www.sciencedirect.com/science/article/pii/S0166864107004294restricted access515.12Upper semifinite topologyCompactnessShapeHomotopyTopología1210 Topología