Search results for "spaces"

Anthropocène, Sémiotique et Droit de l’Environnement. La remise en cause juridique des non-humains

2023

The Anthropocene is not a time of a crisis of nature, but a time of an epistemic one. That stimulates the semiotics of culture to take up the project of an archaeology of knowledge. In this article, we give some indications of how to deal with this in the discourse of environmental law. We will focus on the turning point of the 1960s and 1970s, which is very significant for environmental law. Based on a corpus including French national law, international law and European regulations, we will start by proposing a semiotic genealogy of natural spaces ; then, we will show how it leads to the reformulation of legal temporalities ; finally, we will end by evoking its repercussions on the actoria…

Visible parts and dimensions

2003

We study the visible parts of subsets of n-dimensional Euclidean space: a point a of a compact set A is visible from an affine subspace K of n, if the line segment joining PK(a) to a only intersects A at a (here PK denotes projection onto K). The set of all such points visible from a given subspace K is called the visible part of A from K. We prove that if the Hausdorff dimension of a compact set is at most n−1, then the Hausdorff dimension of a visible part is almost surely equal to the Hausdorff dimension of the set. On the other hand, provided that the set has Hausdorff dimension larger than n−1, we have the almost sure lower bound n−1 for the Hausdorff dimensions of visible parts. We al…

Our Friend and Mathematician Karl Strambach

2020

This paper is dedicated to Karl Strambach on the occasion of his 80th birthday. Here we want to describe our work with Prof. Karl Strambach.

La fine del paesaggio

2018

Nel Seicento la dimensione culturale della scoperta ha consentito di rappresentare la componente estetica del territorio italiano identificando nei passaggi obbligati dei viaggiatori del Grand Tour i luoghi delegati alla idealizzazione del suo paesaggio. Nella condizione contemporanea si mostra urgente una nuova rivelazione connessa al riconoscimento dell’attuale componente morfologica disposta dalla grande trasformazione del territorio operata nella seconda metà del Novecento. L’estinzione delle grandi urgenze della città moderna, i temi connessi alla limitatezza delle risorse, la dimensione ecologica, esautorando le proiezioni urbanistiche a lungo termine, hanno incluso le indagini sul te…

Categorically algebraic topology versus universal topology

2013

This paper continues to develop the theory of categorically algebraic (catalg) topology, introduced as a common framework for the majority of the existing many-valued topological settings, to provide convenient means of interaction between different approaches. Motivated by the results of universal topology of H. Herrlich, we show that a concrete category is fibre-small and topological if and only if it is concretely isomorphic to a subcategory of a category of catalg topological structures, which is definable by topological co-axioms.

Topological systems and Artin glueing

2012

Abstract Using methods of categorical fuzzy topology, the paper shows a relation between topological systems of S. Vickers and Artin glueing of M. Artin. Inspired by the problem of interrelations between algebra and topology, we show the necessary and sufficient conditions for the category, obtained by Artin glueing along an adjoint functor, to be (co)algebraic and (co)monadic, incorporating the respective result of G. Wraith. As a result, we confirm the algebraic nature of the category of topological systems, showing that it is monadic.

Diverging Collectives: Artist-Run Spaces versus Warehouse Shows Comparative models of art production and cooperation among young British artists

2017

The paper addresses the case of artist-run spaces and warehouse shows in the United Kingdom between the 1980s and 1990s, a time when autonomous group shows and independent artist collectives sprawled particularly thanks to the engagement of a new generation of artists, among whom were found later celebrities such as Damien Hirst and Douglas Gordon. It will be argued that both artist-run spaces and warehouse shows were feasible solutions for young authors against art market barriers and economic crisis, although they held structural and organisational differences that would affect aesthetic outcomes and present art history with a shift in the model of the art collective.

Solution of an initial-value problem for parabolic equations via monotone operator methods

2014

We study a general initial-value problem for parabolic equations in Banach spaces, by using a monotone operator method. We provide sufficient conditions for the existence of solution to such problem.

MR2986428 Lebedev, Leonid P.(CL-UNC); Vorovich, Iosif I.; Cloud, Michael J. Functional analysis in mechanics. Second edition. Springer Monographs in …

2014

Absolutely summing operators on C[0,1] as a tree space and the bounded approximation property

AbstractLet X be a Banach space. For describing the space P(C[0,1],X) of absolutely summing operators from C[0,1] to X in terms of the space X itself, we construct a tree space ℓ1tree(X) on X. It consists of special trees in X which we call two-trunk trees. We prove that P(C[0,1],X) is isometrically isomorphic to ℓ1tree(X). As an application, we characterize the bounded approximation property (BAP) and the weak BAP in terms of X∗-valued sequence spaces.