A ‘right to have rights’ in the EU public sphere? An Arendtian justification for the application of the EU Charter of Fundamental Rights

This paper discusses the Court’s reasoning in interpreting the EU Charter, using recent case law on horizontal effect as a case study. It identifies two possible means of interpreting the provisions of the Charter: firstly, an approach based on common values (e.g. equality or solidarity) and, secondly, an approach based on access to the public sphere. It argues in favour of the latter. Whereas an approach based on common values is more consonant with the development of the case law so far, it is conceptually problematic: it involves subjective assessments of the importance and degree of ‘sharedness’ of the value in question, which can undermine the equal constitutional status of different Charter provisions. Furthermore, it marginalises the Charter’s overall politically constructional character, which distinguishes it from other sources of rights protection listed in Art 6 TEU. The paper argues that, as the Charter’s provisions concretise the notion of political status in the EU, they have a primarily constitutional, rather than ethical, basis. Interpreting the Charter based on the very commitment to a process of sharing, drawing on Hannah Arendt’s idea of the ‘right to have rights’ (a right to access a political community on equal terms), is therefore preferable. This approach retains the pluralistic, post-national fabric of the EU polity, as it accommodates multiple narratives about its underlying values, while also having an inclusionary impact on previously underrepresented groups (e.g. non-market-active citizens or the sans-papiers) by recognising their equal political disposition.

Packings and coverings of the complete graph with trees

In this thesis, we define the spectrum problem for packings (coverings) of G to be the problem of finding all graphs H such that a maximum G-packing (minimum G- covering) of the complete graph with the leave (excess) graph H exists. The set of achievable leave (excess) graphs in G-packings (G-coverings) of the complete graph is called the spectrum of leave (excess) graphs for G. Then, we consider this problem for trees with up to five edges. We will prove that for any tree T with up to five edges, if the leave graph in a maximum T-packing of the complete graph Kn has i edges, then the spectrum of leave graphs for T is the set of all simple graphs with i edges. In fact, for these T and i and H any simple graph with i edges, we will construct a maximum T-packing of Kn with the leave graph H. We will also show that for any tree T with k ≤ 5 edges, if the excess graph in a minimum T-covering of the complete graph Kn has i edges, then the spectrum of excess graphs for T is the set of all simple graphs and multigraphs with i edges, except for the case that T is a 5-star, for which the graph formed by four multiple edges is not achievable when n = 12.

The Riemann sphere in GeoGebra

The stereographic projection is a bijective smooth map which allows us to think the sphere as the extended complex plane. Among its properties it should be emphasized the remarkable property of being angle conformal that is, it is an angle measure preserving map. Unfortunately, this projection map does not preserve areas. Besides being conformal it has also the property of projecting spherical circles in either circles or straight lines in the plane This type of projection maps seems to have been known since ancient times by Hipparchus (150 BC), being Ptolemy (AD 140) who, in his work entitled "The Planisphaerium", provided a detailed description of such a map. Nonetheless, it is worthwhile to mention that the property of the invariance of angle measure has only been established much later, in the seventeenth century, by Thomas Harriot. In fact, it was exactly in that century that the Jesuit François d’Aguilon introduced the terminology "stereographic projection" for this type of maps, which remained up to our days. Here, we shall show how we create in GeoGebra, the PRiemannz tool and its potential concerning the visualization and analysis of the properties of the stereographic projection, in addition to the viewing of the amazing relations between Möbius Transformations and stereographic projections.

Discrimination in the Private Sphere. A subjective Right or a Legal Abuse. An European North American Legal Comparative Study

En el presente trabajo se estudian los límites de la autonomía privada desde la perspectiva del derecho a la igualdad y del principio de no discriminación tanto en el derecho norteamericano como en el europeo, con especial incidencia a la doctrina española. Por un lado se plantea si la piedra angular a la hora de establecer límites a la autonomía privada debe ser el concepto de dignidad o el de igualdad, por otro superando dicho debate se propone un acercamiento al problema entendido como una colisión entre derechos fundamentales en la que en cada concreto supuesto ha de estudiarse cual debe prevalecer. Finalmente se estima conveniente seguir el modelo de la Constitución de Sudáfrica y entender que los derechos fundamentales afectan directamente tanto a las relaciones horizontales como verticales, es decir tanto al ámbito público como privado.

Nature of the spin-glass phase in dense packings of Ising dipoles with random anisotropy axes

By Monte Carlo simulations, we study the character of the spinglass (SG) phase in dense disordered packings of magnetic nanoparticles (NPs). We focus on NPs which have large uniaxial anisotropies and can be well represented as Ising dipoles. Dipoles are placed on SC lattices and point along randomly oriented axes. From the behaviour of a SG correlation length we determine the transition temperature Tc between the paramagnetic and a SG phase. For temperatures well below Tc we find distributions of the SG overlap parameter q that are strongly sample-dependent and exhibit several spikes. We find that the average width of spikes, and the fraction of samples with spikes higher than a certain threshold does not vary appreciably with the system sizes studied. We compare these results with the ones found previously for 3D site-diluted systems of parallel Ising dipoles and with the behaviour of the Sherrington-Kirkpatrick model.

WOMEN, CYCLING, AND THE PUBLIC SPHERE: HOW DISCURSIVE AND COMMUNITY PRACTICES AFFECT ENGAGEMENT

This thesis considers the impact that discursive and community practices have on women’s access to the public sphere by examining female cyclists and a cycling community in Miami, Florida via interviews and observation. In the interviews, female cyclists frequently reported fears for their safety, including concern over harassment, when riding in public space. I interviewed participants of the cycling community and observed Emerge Miami’s meetings and events, where publicly organized cycling excursions were a major component. Using the theoretical and methodological lenses of Feminist Critical Discourse Analysis and Communities of Practice, I examined the interviews to understand how participants discursively framed and contextualized gender-based harassment. I found two meta-discourse frames in operation: a normative frame (that essentially accepted the status quo) and a feminist frame (that challenged the “naturalness” of women’s harassment as just what one had to live with). The feminist frame offered a pathway for women to exert control over their experiences and alter the cultural understanding of harassment’s meaning and effect. The local community practices of Emerge Miami also challenged the normative frames that often silence women, employing explicitly invitational practices, which demonstrates how local discursive and social activity can impact and increase women’s involvement by creating a more accessible space for women to engage with their local cycling community.

Homotheties and topology of tangent sphere bundles

We prove a Theorem on homotheties between two given tangent sphere bundles SrM of a Riemannian manifold (M,g) of dim ≥ 3, assuming different variable radius functions r and weighted Sasaki metrics induced by the conformal class of g. New examples are shown of manifolds with constant positive or with constant negative scalar curvature which are not Einstein. Recalling results on the associated almost complex structure I^G and symplectic structure ω^G on the manifold TM , generalizing the well-known structure of Sasaki by admitting weights and connections with torsion, we compute the Chern and the Stiefel-Whitney characteristic classes of the manifolds TM and SrM.