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Título:
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Ultrametrics on ?ech homology groups
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Autores:
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Giraldo, A. ;
Morón, Manuel A. ;
Sánchez-González, Álvaro
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2019
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = En prensa
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Materia = Ciencias: Matemáticas: Grupos (Matemáticas)
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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This paper is devoted to introducing additional structure on ?ech homology groups. First, we redefine the ?ech 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 ?ech 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.
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En línea:
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https://eprints.ucm.es/54801/1/37inpress.pdf
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