On the generalized Feng-Rao numbers of numerical semigroups generated by intervals

We give some general results concerning the computation of the generalized Feng-Rao numbers of numerical semigroups. In the case of a numerical semigroup generated by an interval, a formula for the $r^{th}$ Feng-Rao number is obtained.Comment: 23 pages, 6 figure

The second Feng-Rao number for codes coming from telescopic semigroups

In this manuscript we show that the second Feng-Rao number of any telescopic numerical semigroup agrees with the multiplicity of the semigroup. To achieve this result we first study the behavior of Ap\'ery sets under gluings of numerical semigroups. These results provide a bound for the second Hamming weight of one-point Algebraic Geometry codes, which improves upon other estimates such as the Griesmer Order Bound

On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups

Producción CientíficaWe describe the second (generalized) Feng-Rao distance for elements in an Arf numerical semigroup that are greater than or equal to the conductor of the semigroup. This provides a lower bound for the second Hamming weight for one point AG codes. In particular, we can obtain the second Feng-Rao distance for the codes defined by asymptotically good towers of function fields whose Weierstrass semigroups are inductive. In addition, we compute the second Feng-Rao number, and provide some examples and comparisons with previous results on this topic. These calculations rely on Apéry sets, and thus several results concerning Apéry sets of Arf semigroups are presented.Ministerio de Economía, Industria y Competitividad; y Fondo Europeo de Desarrollo Regional FEDER( Projects MTM2014-55367-P / MTM2015-65764-C3-1-P)Junta de Andalucía (Grant FQM-343)Fundação para a Ciência e a Tecnologia (Project UID/MAT/00297/2013

Verdad y praxis filosófica en Foucault y Badiou

Quisiera abordar el problema de la verdad en Foucault desde una perspectiva que permita situar la especificidad de la práctica filosófica, tal como él la concibe en su mismo ejercicio, y para ello la propuesta filosófica de Badiou resultará esclarecedora. Pese a que Badiou casi no nombra a Foucault en la formulación de sus propios conceptos, voy a mostrar que su modo de especificar en qué consiste la tarea de la filosofía, su praxis concreta, donde también ocupa un lugar nodal la cuestión de la verdad, es afín a las elaboraciones del último Foucault. En pos de afrontar dicha tarea de elucidación crítica será necesario recorrer algunos tópicos entrelazados al concepto de verdad, tales como sistematicidad, simultaneidad y/o composibilidad