2016/1

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    A remark on extremally μ-disconnected generalized topological spaces
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2016) Tyagi, B. K.; Chauhan, H. V. S.
    A more general de nition of extremally u-disconnected generalized topological space [3] is introduced and its properties are studied. We have further improved the de nitions of generalized open sets [1] and upper(lower) semi-continuous functions de ned for a generalized topological space in [5]. In this generalized framework we obtain the analogues of results in [1, 3, 5]. Examples of extremally u -disconnected generalized topological spaces are given.
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    On lax-algebraic (co)nuclei
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2016) Solovyov, S. A.
    Quantic (co)nuclei provide a convenient technique for constructing quotients and subquantales of quantales. This paper shows its analogue for the laxalgebraic approach to topology of M. M. Clementino, D. Hofmann, and W. Tholen, based in a monad and a unital quantale. As a result, we get a machinery for constructing quotient categories and subcategories, which provides, in particular, several of the already de ned ones by M. M. Clementino et al. We also get a representation theorem for the approach of M. M. Clementino et al.
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    Generalized Euler vector fields associated to the Weil bundles
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2016) Kouotchop Wamba, P. M.
    The notion of a Euler vector eld is usually de ned on the tangent bundle of a nite dimensional manifold M. In this paper, we generalize this notion to the Weil bundle TAM, for any Weil algebra A and we study some properties.
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    On some basic constructions in categories of quantale-valued sup-lattices
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2016) Šlesinger, R.
    If the standard concepts of partial-order relation and subset are fuzzi ed, taking valuation in a unital commutative quantale Q, corresponding concepts of joins and join-preserving mappings can be introduced. We present constructions of limits, colimits and Hom-objects in categories Q-Sup of Q-valued fuzzy joinsemilattices, showing the analogy to the ordinary category Sup of join-semilattices.
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    Uncertainty of outcome and varying fan preferences - a game theoretic approach
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2016) Haugen, K. K.
    This paper applies simple game theory to investigate an equilibrium link between composition of football clubs' fans preferences and the clubs' talent acquisition decisions. Such a link is identi ed, and wealth of the clubs turns out to be important for such equilibria to be established. However, even poor clubs can reach equilibria where they end up being winners of the „talent-acquisition-game", given that their fans are 'die-hard' enough. In short; clubs with a long history and a dedicated fan base are much better prepared for successful competition in the football market.