On the connection between the topological genus of certain polyhedra and the algebraic genus of their Hilton-Hopf quadratic forms

The Hilton-Hopf quadratic form is defined for spaces of the homotopy type of a CW complex with one cell each in dimensions 0 and 4n, K cells in dimension 2n and no other cells. If two such spaces are of the same topological genus, then their Hilton-Hopf quadratic forms are of the same weak algebraic genus. For large classes of spaces, such as simply connected differentiable 4-manifolds, the converse is also true, as long as the suspensions of the spaces are also of the same topological genus. This note allays the conjecture that the converse is true in general by offering two techniques for generating infinite families of counterexamples

Survey and Evaluation of Advanced Mobility Management Schemes in the Host Identity Layer

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La construcción de la ciudad, en sociedades de disenso

En este artículo se problematizara la ciudad desde el reto que representa en la contemporaneidad, la convivencia dentro de un espacio urbano de personas que reclaman un derecho legítimo, políticamente sustentado, a la diferencia, pero bajo la "fatalidad" o evidencia de tener que vivir juntos, en un mundo sistémicamente integrado, que va más allá de los límites de la ciudad y la nación, extendiéndose al planeta entero. Es decir, en un mundo globalizado, donde las diferencias afloran y se ven confrontados con los discursos y meta-discursos hegemónicos y contra-hegemónicos, presentando comunidades en disenso.This article problematize the city from the challenge of the contemporaneity, coexistence within an urban space of people demanding a politically supported, the difference, but under the "fate" or evidence of having legitimate right to live together, in a world systemically integrated, which goes beyond the boundaries of the city and the nation, extending the entire planet. That is, in a globalized world, where differences emerge and are confronted with discourses and meta-hegemonic discourses and counterhegemonic, presenting dissenting communities

Connected sum decompositions of high-dimensional manifolds

The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decomposed any further. We discuss to what degree such decompositions exist in higher dimensions and we show that in many settings uniqueness fails in higher dimensions.Comment: 25 pages, fixed several minor mistakes, final versio

On the connection between the topological genus of certain polyhedra and the algebraic genus of their Hilton-Hopf quadratic forms

The Hilton-Hopf quadratic form is defined for spaces of the homotopy type of a CW complex with one cell each in dimensions 0 and 4n, K cells in dimension 2n and no other cells. If two such spaces are of the same topological genus, then their Hilton-Hopf quadratic forms are of the same weak algebraic genus. For large classes of spaces, such as simply connected differentiable 4-manifolds, the converse is also true, as long as the suspensions of the spaces are also of the same topological genus. This note allays the conjecture that the converse is true in general by offering two techniques for generating infinite families of counterexamples