Giraldo, A.Alonso Morón, ManuelSánchez González, Álvaro2023-06-172023-06-172019Giraldo, A., Alonso Morón, M. y Sánchez González, Á. «Ultrametrics on Čech Homology Groups». Topology and Its Applications, vol. 258, mayo de 2019, pp. 549-71. DOI.org (Crossref), https://doi.org/10.1016/j.topol.2019.03.010.0166-864110.1016/j.topol.2019.03.010https://hdl.handle.net/20.500.14352/13191This paper is devoted to introducing additional structure on Čech homology groups. First, we redefine the Čech homology groups in terms of what we have called approximative homology by using approximative sequences of cycles, just as Borsuk introduced shape groups using approximative maps. From this point on, we are able to construct complete ultrametrics on Čech homology groups. The uniform type (and then the group topology) generated by the ultrametric leads to a shape invariant which we use to deduce topological consequences.spajournal articlehttps//doi.org/10.1016/j.topol.2019.03.010https://www.sciencedirect.com/science/article/pii/S0166864119300884#!open access515.14Čech homologyČech homology groupsApproximative cycle and boundaryApproximative homologyUltrametricGrupos (Matemáticas)Topología1210 Topología