RT Journal Article
T1 Ultrametrics on Čech homology groups
A1 Giraldo, A.
A1 Alonso Morón, Manuel
A1 Sánchez González, Álvaro
AB This 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.
PB Elsevier
SN 0166-8641
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/13191
UL https://hdl.handle.net/20.500.14352/13191
LA spa
NO Giraldo, 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.
NO Ministerio de Economía, Comercio y Empresa (España)
DS Docta Complutense
RD 5 abr 2025