2026-06-27T16:04:22Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/131912024-07-09T13:08:49Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Giraldo, A.
author
Alonso Morón, Manuel
author
Sánchez González, Álvaro
2023-06-17T13:21:01Z
2023-06-17T13:21:01Z
2019
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.
0166-8641
10.1016/j.topol.2019.03.010
https://hdl.handle.net/20.500.14352/13191
https//doi.org/10.1016/j.topol.2019.03.010
https://www.sciencedirect.com/science/article/pii/S0166864119300884#!
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.
spa
Ultrametrics on Čech homology groups
journal article
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https://docta.ucm.es/bitstreams/e9b5d1ec-8053-4ada-ba84-5f7620682b4e/download
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1000665
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