1,721,056 research outputs found
On a problem related to a non-squeezing theorem
In this paper we give a solution to a problem of Kulpa about the interior of the image of certain continuous maps f : X --> R-n where X is a compact subset of R-n with non-empty interior. Moreover we show that the image of every continuous map f : X --> R-2 where X is a non-empty compact subset of R-2 and diam f(-1) f (x) < root3 achi for every x is an element of Fr X, has non-empty interior. (C) 2004 Elsevier B.V. All rights reserved
The fine structure of strong disconnectedness properties
In this paper we introduce a general notion of disconnectedness and show how it is related to some classical disconnectedness properties. Several new properties are introduced and investigated, and some open problems are posed. (C) 2004 Elsevier Ltd. All rights reserved
On almost periodic orbits and minimal sets
In this short note we solve in the negative the three problems recently posed by Jie-Hua Mai and Wei-Hua Sun regarding the behaviour of almost periodic orbits and minimal sets of dynamical systems whose phase space is not regular. (C) 2008 Elsevier B.V. All rights reserved
On metric spaces and local extrema
The main aim of this paper is to give a positive answer to a question of Behrends, Geschke and Natkaniec regarding the existence of a connected metric space and a non-constant real-valued continuous function on it for which every point is a local extremum. Moreover we show that real-valued continuous functions on connected spaces such that every family of pairwise disjoint non-empty open sets is of size < | R | are constant provided that every point is a local extremum. © 2009 Elsevier B.V. All rights reserved
Eulerian paths and a problem concerning n-arc connected spaces
In this paper we give, in response to a question of Espinoza, Gartside and Mamatelashvili, an example of an n-arc connected (metric) continuum which is not (n + 1)-arc connected for every n >= 7. (C) 2013 Elsevier B.V. All rights reserved
On a question of Mauldin and Ulam concerning homeomorphisms
In this paper we solve a question of Mauldin and Ulam about transformations preserving homeomorphic pairs. (C) 2011 Elsevier B.V. All rights reserved
Going Beyond Counting First Authors in Author Co-citation Analysis
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
On chaotic extensions of dynamical systems
In this paper, inspired by some results in linear dynamics, we will show that every dynamical system (X. f), where f is a continuous self-map on a separable metric space X, can be extended to a chaotic (in the sense of Devaney) dynamical system in an isometric way. (C) 2010 Elsevier B.V. All rights reserved
Variations on the Author
“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
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