Search results for "paces"
showing 10 items of 496 documents
Countably compact weakly Whyburn spaces
2015
The weak Whyburn property is a generalization of the classical sequential property that was studied by many authors. A space X is weakly Whyburn if for every non-closed set \({A \subset X}\) there is a subset \({B \subset A}\) such that \({\overline{B} \setminus A}\) is a singleton. We prove that every countably compact Urysohn space of cardinality smaller than the continuum is weakly Whyburn and show that, consistently, the Urysohn assumption is essential. We also give conditions for a (countably compact) weakly Whyburn space to be pseudoradial and construct a countably compact weakly Whyburn non-pseudoradial regular space, which solves a question asked by Angelo Bella in private communica…
On the continuity of discrete maximal operators in Sobolev spaces
2014
We investigate the continuity of discrete maximal operators in Sobolev space W 1;p (R n ). A counterexample is given as well as it is shown that the continuity follows under certain sucient assumptions. Especially, our research verifies that for the continuity in Sobolev spaces the role of the partition of the unity used in the construction of the maximal operator is very delicate.
Countable connected spaces and bunches of arcs in R3
2006
Abstract We investigate the images (also called quotients) of countable connected bunches of arcs in R 3 , obtained by shrinking the arcs to points (see Section 2 for definitions of new terms). First, we give an intrinsic description of such images among T 1 -spaces: they are precisely countable and weakly first countable spaces. Moreover, an image is first countable if and only if it can be represented as a quotient of another bunch with its projection hereditarily quotient (Theorem 2.7). Applying this result we see, for instance, that two classical countable connected T 2 -spaces—the Bing space [R.H. Bing, A connected countable Hausdorff space, Proc. Amer. Math. Soc. 4 (1953) 474], and th…
Metric Operators, Generalized Hermiticity and Lattices of Hilbert Spaces
2015
Pseudo-Hermitian quantum mechanics (QM) is a recent, unconventional, approach to QM, based on the use of non-self-adjoint Hamiltonians, whose self-adjointness can be restored by changing the ambient Hilbert space, via a so-called metric operator. The PT-symmetric Hamiltonians are usually pseudo-Hermitian operators, a term introduced a long time ago by Dieudonné for characterizing those bounded operators A that satisfy a relation of the form GA = A G, where G is a metric operator, that is, a strictly positive self-adjoint operator. This chapter explores further the structure of unbounded metric operators, in particular, their incidence on similarity. It examines the notion of similarity betw…
On Weakly Locally Uniformly Rotund Banach Spaces
1999
Abstract We show that every normed space E with a weakly locally uniformly rotund norm has an equivalent locally uniformly rotund norm. After obtaining a σ -discrete network of the unit sphere S E for the weak topology we deduce that the space E must have a countable cover by sets of small local diameter, which in turn implies the renorming conclusion. This solves a question posed by Deville, Godefroy, Haydon, and Zizler. For a weakly uniformly rotund norm we prove that the unit sphere is always metrizable for the weak topology despite the fact that it may not have the Kadec property. Moreover, Banach spaces having a countable cover by sets of small local diameter coincide with the descript…
The influence of agriculture on the structural economic vulnerability of small island spaces: Assessment using DEA based composite indicators
2020
Small island spaces are confronted with significant disadvantages that ultimately result in strong economic vulnerability. The conventional literature emphasizes the main role of agriculture in generating structural vulnerability. Specifically, the higher the weight of agriculture compared to other sectors is, the more structurally vulnerable an economy is. However, the recent food crises revealed that the economic dependence on agriculture is not a problem on its own, but the issue is rather the efficiency of this sector along with the orientation of domestic production towards diversification and food self-sufficiency. In this paper, we thus propose a new structural economic vulnerability…
Narrativas visuales de la Facultad de Magisterio mediadas por teléfonos móviles. Una mirada pedagógica y artística a la Investigación Basada en las A…
2020
[EN] This work focuses on the visual narratives generated from images captured by art education students, as a result of projects developed in the Teaching classrooms during different academic years. In them intervenes, at first, the gaze of the students as visual producers through portable devices, mainly mobile phones, in educational environments between 2011 and 2017. The images were captured at different chronological moments and materialized on the university campuses of Ontinyent and Dels Tarongers, from the Faculty of Education. The work theoretically approximates the method of Research Based on the Arts. The images produced by the students are composed by the author and researcher t…
Describing urban soils through a faceted system ensures more informed decision-making
2016
Urban areas are increasing worldwide at a dramatic rate and their soils definitely deserve more attention than they have received in the past. In urban environments, soils potentially provide the same ecosystem services as in rural and wild environments, although in some cases they are depleted of their basic functions, such as when they lose their productive and filtering capacities because of sealing, and become mere supports for infrastructures. In other cases, soils of urban areas acquire new functions that are unique to these environments. Current soil classifications fail to effectively account for the complexity of urban soils and the information that is required for their management…
Users’ Preferences for Designing Spaces under Urban Bridges as Vital Urban Spaces
2018
Today’s fast-paced urbanization process has caused many problems in urban development. Therefore, urban space is slowly losing its nature and disappearing due to the speed of rapid urban development. Trying to keep up with the modern era’s prevalent epoch of roads and bridges, urban policies in Iran have focused on developing road networks in recent years. Thus numerous elevated structures, urban highways and bridges are used to connect the urban fabric of the country’s cities, enabling the smooth transition of traffic in its cities. Although many view urban highways merely as tools for mobility; it is true that they influence on urban structure and the communities that they interconnect. H…
Integrable systems and moduli spaces of curves
2016
This document has the purpose of presenting in an organic way my research on integrable systems originating from the geometry of moduli spaces of curves, with applications to Gromov-Witten theory and mirror symmetry. The text contains a short introduction to the main ideas and prerequisites of the subject from geometry and mathematical physics, followed by a synthetic review of some of my papers (listed below) starting from my PhD thesis (October 2008), and with some open questions and future developements. My results include: • the triple mirror symmetry among P 1-orbifolds with positive Euler characteristic , the Landau-Ginzburg model with superpotential −xyz + x p + y q + z r with 1 p + …