Challenges for future of Natural Spaces of Canary Islands, Spain

The preservation of biodiversity is a fundamental objective of a ll policies related to a more sustainable development in any modern society. The rain forest and pine forests are two unique Canarian ecosystems with high importance to global biodiversity, holding a large number of endemic species and subspecies that is a priority to preserve. In this work the challenges that will face the natural areas of the Canary Islands are studied, as well as their fundamental value for economic and environmental development of the islands.

New lower bounds for the topological complexity of aspherical spaces

Date of Acceptance: 5/04/2015 15 pages, 4 figures

Nonatomic games on Loeb spaces

In the setting of noncooperative game theory, strategic negligibility of individual agents, or diffuseness of information, has been modeled as a nonatomic measure space, typically the unit interval endowed with Lebesgue measure. However, recent work has shown that with uncountable action sets, for example the unit interval, there do not exist pure-strategy Nash equilibria in such nonatomic games. In this brief announcement, we show that there is a perfectly satisfactory existence theory for nonatomic games provided this nonatomicity is formulated on the basis of a particular class of measure spaces, hyperfinite Loeb spaces. We also emphasize other desirable properties of games on hyperfinite Loeb spaces, and present a synthetic treatment, embracing both large games as well as those with incomplete information.

Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups.

We work with Besov spaces Bp,q0,b defined by means of differences, with zero classical smoothness and logarithmic smoothness with exponent b. We characterize Bp,q0,b by means of Fourier-analytical decompositions, wavelets and semi-groups. We also compare those results with the well-known characterizations for classical Besov spaces Bp,qs.

On paracompactness, completeness and boundedness in uniform spaces

Recently two new types of completeness in metric spaces, called Bourbaki-completeness and cofinal Bourbaki-completeness, have been introduced in [7]. The purpose of this note is to analyze these completeness properties in the general context of uniform spaces. More precisely, we are interested in how they are related with uniform paracompactness properties, as well as with some kind of uniform boundedness.

Two classes of metric spaces

The class of metric spaces (X,d) known as small-determined spaces, introduced by Garrido and Jaramillo, are properly defined by means of some type of real-valued Lipschitz functions on X. On the other hand, B-simple metric spaces introduced by Hejcman are defined in terms of some kind of bornologies of bounded subsets of X. In this note we present a common framework where both classes of metric spaces can be studied which allows us to see not only the relationships between them but also to obtain new internal characterizations of these metric properties.

On the nullstellensätze for stein spaces and C-analytic sets.

In this work we prove the real Nullstellensatz for the ring O(X) of analytic functions on a C-analytic set X ⊂ Rn in terms of the saturation of Łojasiewicz’s radical in O(X): The ideal I(Ƶ(a)) of the zero-set Ƶ(a) of an ideal a of O(X) coincides with the saturation (Formula presented) of Łojasiewicz’s radical (Formula presented). If Ƶ(a) has ‘good properties’ concerning Hilbert’s 17th Problem, then I(Ƶ(a)) = (Formula presented) where (Formula presented) stands for the real radical of a. The same holds if we replace (Formula presented) with the real-analytic radical (Formula presented) of a, which is a natural generalization of the real radical ideal in the C-analytic setting. We revisit the classical results concerning (Hilbert’s) Nullstellensatz in the framework of (complex) Stein spaces. Let a be a saturated ideal of O(Rn) and YRn the germ of the support of the coherent sheaf that extends aORn to a suitable complex open neighborhood of Rn. We study the relationship between a normal primary decomposition of a and the decomposition of YRn as the union of its irreducible components. If a:= p is prime, then I(Ƶ(p)) = p if and only if the (complex) dimension of YRn coincides with the (real) dimension of Ƶ(p).

CB-norm estimates for maps between noncommutative Lp-spaces and quantum channel theory.

In the first part of this work, we show how certain techniques from quantum information theory can be used in order to obtain very sharp embeddings between noncommutative Lp-spaces. Then, we use these estimates to study the classical capacity with restricted assisted entanglement of the quantum erasure channel and the quantum depolarizing channel. In particular, we exactly compute the capacity of the first one and we show that certain nonmultiplicative results hold for the second one.

Student-Athlete Learning: How Learning Spaces Influence Athletic and Academic Success

This study will utilize case study inquiry to examine student-athlete learning opportunities in the athletic learning space and academic learning space in a higher education NCAA Division I collegiate institution. This study will assess what learning opportunities exist within the athletic and academic learning space to better understand effective learning practices. This study will utilize the sociocultural Learning Sciences literature, supported with critical pedagogy and inclusive excellence literature, to understand how different learning spaces contribute to student-athlete learning opportunities and educational success in college.

Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z

Let vv be a weight sequence on ZZ and let ψ,φψ,φ be complex-valued functions on ZZ such that φ(Z)⊂Zφ(Z)⊂Z. In this paper we study the boundedness, compactness and weak compactness of weighted composition operators Cψ,φCψ,φ on predual Banach spaces c0(Z,1/v)c0(Z,1/v) and dual Banach spaces ℓ∞(Z,1/v)ℓ∞(Z,1/v) of Beurling algebras ℓ1(Z,v)ℓ1(Z,v).

Zoning and Open Spaces, Washington, D.C., 1936 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Base map of the District of Columbia showing public and zoning areas, base prepared in the Office of the Surveyor, D.C., by direction of the Engineer Commissioner, D.C. It was published by Engineer Commissioner in 1936. Scale [ca. 1:19,200]. Base map "complete to June 13, 1933." The image inside the map neatline is georeferenced to the surface of the earth and fit to the Maryland State Plane Coordinate System Meters NAD83 (Fipszone 1900). All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as residential areas, open spaces, commercial and industrial areas, alley dwelling areas, roads, block numbers, railroads and stations, drainage, selected public buildings and points of interest, parks, cemeteries, and more. This layer is part of a selection of digitally scanned and georeferenced historic maps from The Harvard Map Collection as part of the Imaging the Urban Environment project. Maps selected for this project represent major urban areas and cities of the world, at various time periods. These maps typically portray both natural and manmade features at a large scale. The selection represents a range of regions, originators, ground condition dates, scales, and purposes.

Autonomy in the global era: Euro-regionalism and new policy spaces in education. ACES Working Papers, August 2010

Framed by a critical discussion of methodological nationalism, this paper explores the intersection of new and evolving regional, central state, and supranational education policy spaces through examples drawn from post-Franco Spain. This work is situated within the broader literature on the development of a European Education Policy Space, which aims to understand changing governance structures in European education (cf. Grek et al., 2009; Lawn & Lingard,2002; N6voa & Lawn, 2002). Using policy documents since 2000 and interview data, the paper first examines Spanish and regional (Catalan) education policy related to devolution, namely Catalonia's recently revised Statute of Autonomy. The paper then places devolution in Spain and Catalonia in a broader context of Euro-regionalism, which has deepened and legitimized regional autonomy. Together these shifts in educational governance and the development of new education policy spaces have promoted a concept of the multi-scalar, European "ideal citizen" (Engel & Ortloff, 2009). The last section presents an overview of the recent influx of immigrants into Catalonia and Spain, exploring whether and to what extent recent education policy promoting the "ideal citizen" has taken non-European immigrants into account.

Working in confined spaces.

Mode of access: Internet.