On homomorphism spaces of metrizable groups

For two not necessarily commutative topological groups G and T, let H(G,T) denote the space of all continuous homomorphisms from G to T with the compact-open topology. We prove that if G is metrizable and T is compact then H(G,T) is a k-space. As a consequence we obtain that if G_1 is a dense subgroup of G then H(G_1,T) is homeomorphic to H(G,T), and if G is separable h-complete, then the natural map G --> C(H(G,T),T) is open onto its image.Comment: v3 (revision of March 17, 2003): slight changes in general, the proof of the last theorem has been rewritte

Tax evasion and tax avoidance in the towns of the Kingdom of Naples (XV-XVIII centuries)

The phenomenon of tax fraud was rooted in the tax system of the old regime. The main reasons were: the magnitude of the number of the privileged, the negotiatory nature of fiscal relations between the Sovereign and his subjects, the decentralised management of taxation where a leading role was played in this by the intermediary bodies throughout the territory. Another factor was the autonomy enjoyed at local level, which was also a source of particularism, heterogeneity and excessive power on the part of the urban élite (Fortea Pérez). Many of these characteristics, relating specifically to sixteenth and seventeenth-century Castile, were also common to other areas of Europe as a result of jurisdictional fragmentation (Epstein, Dincecco). In order to describe the peculiar physiognomy of the Kingdom in the field of tax evasion, I shall try to answer questions on whether and how this phenomenon followed the above-mentioned centuries-old patternsEl fenómeno del fraude fiscal es inherente al sistema tributario del antiguo régimen. Las principales razones fueron: la gran cantidad de privilegiados implicados en el sistema; la naturaleza per se negociadora de las relaciones fiscales entre el soberano y sus súbditos; la gestión descentralizada de los impuestos y el papel substancial que jugaron en todo ello los organismos intermedios. Otro factor fue la autonomía de que gozaron en el ámbito local, lo que era también una fuente de particularismos, así como la heterogeneidad y el poder excesivo por parte de la élite urbana (Fortea Pérez). Muchas de estas características, específicamente relacionado con la Castilla de los siglos XVI y XVII, también eran comunes a otras zonas de Europa como resultado de la fragmentación jurisdiccional (Epstein, Dincecco). Para describir la fisonomía peculiar del Reino en el campo de la evasión fiscal, voy a tratar de responder a las preguntas sobre cómo este fenómeno siguió los viejos patrones de los mencionados siglo

ASPECTS REGARDING THE APPROACH OF THE PROBLEMS OF THE EMPLOYEES AND OF THE PROBLEM-EMPLOYEES

The procustian approach of the job's design is widely spread in actual society too. Several researches in European countries regarding working conditions, employees' satisfaction and work stress marked the fact that there are many stressful jobs. The most serious consequence of work - stress is the lack of balance between private and professional life. Western organizations offer various support instruments to their employees in order to improve the balance between work and private life. There are employees who have difficult demeanour due to stress and exhaustment. The approach of problem-employees demands great skill and ability.bed of Procust, working conditions, balance between work and life, support company politics, problem-employees

Canonical quantization and black hole perturbations

We examine the possibility of a constraint-free quantization of linearized gravity, based on the Teukolsky equation for black hole perturbations. We exhibit a simple quadratic (but complex) Lagrangian for the Teukolsky equation, leading to the interpretation that the elementary excitations (gravitons bound to the Kerr black hole) are unstable.Comment: Contribution to the XIXth Max Born Symposium, Wroclaw. 10 pages, LaTeX, no figure

CONSIDERATIONS ON THE MEASURES TO COUNTER THE RISK OF BANKRUPTCY FOR SMES DURING THE FINANCIAL CRISIS

The financial crisis in Romania has expressed in an eloquent manner and meant large negative effects, such as external factors generated by trigger of the financial crisis in Romania in October 2008 and internal factors for society that fundamentally influenced the decreasing of funding in 2009. Promotion of private initiative is, in our opinion, one of the methods that attenuate the financial effort of state for social segment which generates costs and, is producing revenue for the state. In this paper we promote the idea of opening a fundamental process of restructuring the SME’s management mentality, that of safeguarding of the enterprises with existing instruments, but also with new proposals to the Government, for regeneration as soon as possible of the country's economic and human factors capable of working.bankruptcy, SME, Reorganization, companies, crisis, fusion.

Non-Abelian Vortices with a Twist

Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of 4-dimensional N=2 super-symmetric gauge theories. The specific model considered here posseses U(2)local x SU(2)global symmetry, with two scalar doublets in the fundamental representation of SU(2). We construct string solutions that are stationary and translationally symmetric along the x3 direction, and they are characterized by a matrix phase between the two doublets, referred to as "twist". Consequently, twisted strings have nonzero (global) charge, momentum, and in some cases even angular momentum per unit length. The planar cross section of a twisted string corresponds to a rotationally symmetric, charged non-Abelian vortex, satisfying 1st order Bogomolny-type equations and 2nd order Gauss-constraints. Interestingly, depending on the nature of the matrix phase, some of these solutions even break rotational symmetry in R3. Although twisted vortices have higher energy than the untwisted ones, they are expected to be linearly stable since one can maintain their charge (or twist) fixed with respect to small perturbations.Comment: 18 pages, 5 figure

Heavy quarks or compactified extra dimensions in the core of hybrid stars

Neutron stars with extremely high central energy density are natural laboratories to investigate the appearance and the properties of compactified extra dimensions with small compactification radius, if they exist. Using the same formalism, these exotic hybrid stars can be described as neutron stars with quark core, where the high energy density allows the presence of heavy quarks (c, b, t). We compare the two scenarios for hybrid stars and display their characteristic features.Comment: Talk given at 4th International Workshop on New Worlds in Astroparticle Physics, Faro, Portugal, 5-7, Sep 2002. 10 pages, 6 EPS figure