VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • On the dimension of the space of ▫$\mathbb{R}$▫-places of certain rational function fields
    Banakh, Taras, 1968- ...
    We prove that for every ▫$n \in \mathbb{N}$▫ the space ▫$M(K(x_1, \dots, x_n )$▫ of ▫$\mathbb{R}$▫-places of the field ▫$K(x_1, \dots, x_n )$▫ of rational functions of ▫$n$▫ variables with ... coefficients in a totally Archimedean field ▫$K$▫ has the topological covering dimension ▫$\dim M(K(x_1, \dots, x_n)) \le n$▫. For ▫$n = 2$▫ the space ▫$M(K(x_1, x_2)$)▫ has covering and integral dimensions ▫$\dim M(K(x_1, x_2)) = \dim_{\mathbb{Z}} M(K(x_1, x_2)) = 2$▫ and the cohomological dimension ▫$\dim_G M(K(x_1, x_2)) = 1$▫ for any Abelian 2-divisible coefficient group ▫$G$▫.
    Vir: Central European Journal of Mathematics. - ISSN 1895-1074 (Vol. 12, no. 8, 2014, str. 1239-1248)
    Vrsta gradiva - članek, sestavni del
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 17011033

    Povezava(-e):

    http://dx.doi.org/10.2478/s11533-014-0409-y

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