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  • On nerves of fine coverings of acyclic spaces
    Karimov, Umed H. ; Repovš, Dušan, 1954-
    The main results of this paper are: (1) If a space ▫$X$▫ can be embedded as a cellular subspace of ▫$\mathbb{R}^n$▫ then ▫$X$▫ admits arbitrary fine open coverings whose nerves are homeomorphic to ... the ▫$n$▫-dimensional cube ▫$D^n$▫. (2) Every ▫$n$▫-dimensional cell-like compactum can be embedded into ▫$(2n+1)$▫-dimensional Euclidean space as a cellular subset. (3) There exists a locally compact planar set which is acyclic with respect to Čech homology and whose fine coverings are all nonacyclic.
    Vir: Mediterranean journal of mathematics. - ISSN 1660-5446 (Vol. 12, no. 1, 2015, str. 205-217)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 16978521

vir: Mediterranean journal of mathematics. - ISSN 1660-5446 (Vol. 12, no. 1, 2015, str. 205-217)

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