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  • 1.
    Chatyrko, VA
    Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden.
    On finite sum theorems for transfinite inductive dimensions1999In: Fundamenta Mathematicae, ISSN 0016-2736, E-ISSN 1730-6329, Vol. 162, no 1, p. 91-98Article in journal (Refereed)
    Abstract [en]

    We discuss the exactness of estimates in the finite sum theorems for transfinite inductive dimensions trind and trInd. The technique obtained gives an opportunity to repeat and sometimes strengthen some well known results about compacta with trind not equal trInd. In particular we improve an estimate of the small transfinite inductive dimension of Smirnov's compacts S-alpha, alpha < omega(1), given by Luxemburg [Lu2].

  • 2.
    Chatyrko, VA
    et al.
    Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
    Hattori, Y
    Dept Math, Matsue, Shimane 6908504, Japan.
    On a question of de Groot and Nishiura2002In: Fundamenta Mathematicae, ISSN 0016-2736, E-ISSN 1730-6329, Vol. 172, no 2, p. 107-115Article in journal (Refereed)
    Abstract [en]

    Let Z(n) = [0, 1](n+1) \ (0, 1)(n) x {0}. Then cmp Z(n) < def Z(n) for n greater than or equal to 5. This is the answer to a question posed by de Groot and Nishiura [GN] for n greater than or equal to 5.

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