1,721,017 research outputs found

    Infinite games and cardinal properties of topological spaces

    Full text link
    Inspired by work of Scheepers and Tall, we use properties defined by topological games to provide bounds for the cardinality of topological spaces. We obtain a partial answer to an old question of Bell, Ginsburg and Woods regarding the cardinality of weakly Lindel ̈of first-countable regular spaces and answer a question recently asked by Babinkostova, Pansera and Scheepers. In the second part of the paper we study a game-theoretic version of cellularity, a special case of which has been introduced by Aurichi. We obtain a game-theoretic proof of Shapirovskii’s bound for the number of regular open sets in an (almost) regular space and give a partial answer to a natural question about the productivity of a game strengthening of the countable chain condition that was introduced by Aurichi. As a final application of our results we prove that the Hajnal-Juh ́asz bound for the cardinalityof a first-countable ccc Hausdorff space is true for almost regular (non-Hausdorff) space

    Cardinal inequalities involving the Hausdorff pseudocharacter

    Full text link
    We establish several bounds on the cardinality of a topological space involving the Hausdorff pseudocharacter Hψ(X)H\psi(X). This invariant has the property ψc(X)Hψ(X)χ(X)\psi_c(X)\leq H\psi(X)\leq\chi(X) for a Hausdorff space XX. We show the cardinality of a Hausdorff space XX is bounded by 2pwLc(X)Hψ(X)2^{pwL_c(X)H\psi(X)}, where pwLc(X)L(X)pwL_c(X)\leq L(X) and pwLc(X)c(X)pwL_c(X)\leq c(X). This generalizes results of Bella and Spadaro, as well as Hodel. We show additionally that if XX is a Hausdorff linearly Lindel\"of space such that Hψ(X)=ωH\psi(X)=\omega, then X2ω|X|\le 2^\omega, under the assumption that either 2^{<\mathfrak{c}}=\mathfrak{c} or \mathfrak{c}<\aleph_\omega. The following game-theoretic result is shown: if XX is a regular space such that player two has a winning strategy in the game G1κ(O,OD)G^{\kappa}_1(\mathcal{O}, \mathcal{O}_D), H \psi(X) < \kappa and \chi(X) \leq 2^{<\kappa}, then |X| \leq 2^{<\kappa}. This improves a result of Aurichi, Bella, and Spadaro. Generalizing a result for first-countable spaces, we demonstrate that if XX is a Hausdorff almost discretely Lindel\" of space satisfying Hψ(X)=ωH\psi(X)=\omega, then X2ω|X|\le 2^\omega under the assumption 2^{<\mathfrak c}=\mathfrak c. Finally, we show X2wL(X)Hψ(X)|X|\leq 2^{wL(X)H\psi(X)} if XX is a Hausdorff space with a π\pi-base with elements with compact closures. This is a variation of a result of Bella, Carlson, and Gotchev

    Going Beyond Counting First Authors in Author Co-citation Analysis

    Full text link
    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

    Full text link
    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Appropriate Similarity Measures for Author Cocitation Analysis

    Full text link
    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    Variations of selective separability II: Discrete sets and the influence of convergence and maximality

    Full text link
    AbstractA space X is called selectively separable (R-separable) if for every sequence of dense subspaces (Dn:n∈ω) one can pick finite (respectively, one-point) subsets Fn⊂Dn such that ⋃n∈ωFn is dense in X. These properties are much stronger than separability, but are equivalent to it in the presence of certain convergence properties. For example, we show that every Hausdorff separable radial space is R-separable and note that neither separable sequential nor separable Whyburn spaces have to be selectively separable. A space is called d-separable if it has a dense σ-discrete subspace. We call a space X D-separable if for every sequence of dense subspaces (Dn:n∈ω) one can pick discrete subsets Fn⊂Dn such that ⋃n∈ωFn is dense in X. Although d-separable spaces are often also D-separable (this is the case, for example, with linearly ordered d-separable or stratifiable spaces), we offer three examples of countable non-D-separable spaces. It is known that d-separability is preserved by arbitrary products, and that for every X, the power Xd(X) is d-separable. We show that D-separability is not preserved even by finite products, and that for every infinite X, the power X2d(X) is not D-separable. However, for every X there is a Y such that X×Y is D-separable. Finally, we discuss selective and D-separability in the presence of maximality. For example, we show that (assuming d=c) there exists a maximal regular countable selectively separable space, and that (in ZFC) every maximal countable space is D-separable (while some of those are not selectively separable). However, no maximal space satisfies the natural game-theoretic strengthening of D-separability

    Dispelling the Myths Behind First-author Citation Counts

    Full text link
    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

    Author Index

    No full text
    Nao informado

    koamabayili/VECTRON-author-checklist: VECTRON author checklist

    No full text
    We have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
    corecore