Let X be a complex L1-predual, non-separable in general. We investigate extendability of complex-valued bounded homogeneous Baire-α functions on the set ext B_{X*} of the extreme points of the dual unit ball B_{X*} to the whole unit ball B_{X*}. As a corollary we show that, given α \in [1, ω1), the intrinsic α-th Baire class of X can be identified with the space of bounded homogeneous Baire-α functions on the set ext B_{X*} when ext B_{X*} satisfies certain topological assumptions. The paper is intended to be a complex counterpart to the same authors’ paper: Baire classes of non-separable L1-preduals (2015). As such it generalizes former work of Lindenstrauss and Wulbert (1969), Jellett (1985), and ourselves (2014), (2015)., Pavel Ludvík, Jiří Spurný., and Obsahuje seznam literatury
A characterization of functions in the first Baire class in terms of their sets of discontinuity is given. More precisely, a function f : R → R is of the first Baire class if and only if for each ε > 0 there is a sequence of closed sets {Cn}∞ n=1 such that Df = ∞S n=1 Cn and ωf (Cn) < ε for each n where ωf (Cn) = sup{|f(x) − f(y)|: x, y ∈ Cn} and Df denotes the set of points of discontinuity of f. The proof of the main theorem is based on a recent ε-δ characterization of Baire class one functions as well as on a wellknown theorem due to Lebesgue. Some direct applications of the theorem are discussed in the paper.
Antiparasitic allogrooming in two adults of Red Fox (Vulpes vulpes) was observed in the Javorie Mountains in Slovakia on 18th April 2016. This rare observation was documented by photographs and video. In this context, the occurrence of ticks on Red Foxes and in fox faeces in Europe is briefly reviewed and discussed. and Ivan Literák.
Ecocriticism is a relatively new, important and rapidly developing field of study of works of art, focusing on the relationship between literature and the environment. From its initial focus on non-fiction depictions of nature (in “nature writing”), it has expanded its attention during its second generation to include all types of environmental representation in literature and media in general. Far from being a purely evaluative or even ideological method, ecocriticism explores representations of the relationship between nature and culture, reflects on the interconnection between environmental and social themes and analyses innovative narrative strategies that seek to address complex issues. Following an introductory characterization and an overview of the development of ecocriticism, this study will focus on seven contemporary Czech novels dealing with environmental issues.