RT Journal Article T1 Homotopical properties of upper semifinite hyperspaces of compacta A1 Alonso Morón, Manuel A1 González Gómez, A. AB 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 PB Elsevier Science SN 0166-8641 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/50508 UL https://hdl.handle.net/20.500.14352/50508 LA eng NO Alonso 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. DS Docta Complutense RD 8 jun 2025