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  • Categories of coarse groups: quasi-homomorphisms and functorial coarse structures
    Dikranjan, Dikran N., 1950- ; Zava, Nicolò
    Coarse geometry is the study of large-scale properties of spaces. In this paper we study group coarse structures (i.e., coarse structures on groups that agree with the algebraic structures), by using ... group ideals. We introduce a large class of examples of group coarse structures induced by cardinal invariants. In order to enhance the categorical treatment of the subject, we use quasi-homomorphisms, as a large-scale counterpart of homomorphisms. In particular, the localisation of a category plays a fundamental role. We then define the notion of functorial coarse structures and we give various examples of those structures.
    Source: Topology and its Applications. - ISSN 0166-8641 (Vol. 273, Mar. 2020, art. 106980 (31 str.))
    Type of material - article, component part ; adult, serious
    Publish date - 2020
    Language - english
    COBISS.SI-ID - 18860889

    Link(s):

    https://doi.org/10.1016/j.topol.2019.106980
    DOI

source: Topology and its Applications. - ISSN 0166-8641 (Vol. 273, Mar. 2020, art. 106980 (31 str.))
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