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Dive into the research topics where José Manuel Gamboa Mutuberria is active.

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Featured researches published by José Manuel Gamboa Mutuberria.


Transactions of the American Mathematical Society | 2012

On the semialgebraic Stone-Čech compactification of a semialgebraic set

José Francisco Fernando Galván; José Manuel Gamboa Mutuberria

In the same vein as the classical Stone–ˇCech compactification, we prove in this work that the maximal spectra of the rings of semialgebraic and bounded semialgebraic functions on a semialgebraic set M ⊂ Rn, which are homeomorphic topological spaces, provide the smallest Hausdorff compactification of M such that each bounded R-valued semialgebraic function on M extends continuously to it. Such compactification β∗sM, which can be characterized as the smallest compactification that dominates all semialgebraic compactifications of M, is called the semialgebraic Stone– ˇ Cech compactification of M, although it is very rarely a semialgebraic set. We are also interested in determining the main topological properties of the remainder ∂M = β∗sM \M and we prove that it has finitely many connected components and that this number equals the number of connected components of the remainder of a suitable semialgebraic compactification of M. Moreover, ∂M is locally connected and its local compactness can be characterized just in terms of the topology of M.


Proceedings of the American Mathematical Society | 2012

On open and closed morphisms between semialgebraic sets

José F. Fernando; José Manuel Gamboa Mutuberria

In this work we study how open and closed semialgebraic maps between two semialgebraic sets extend, via the corresponding spectral maps,to the Zariski and maximal spectra of their respective rings of semialgebraic and bounded semialgebraic functions.


Archive | 2005

Notas de geometría diferencial de curvas y superficies

Antonio Félix Costa González; Ana María Porto Castro; José Manuel Gamboa Mutuberria


Archive | 2002

Anillos y cuerpos conmutativos

José Manuel Gamboa Mutuberria; Jesús María Ruiz Sancho


Archive | 1998

Ejercicios de geometría diferencial de curvas y superficies

Antonio Félix Costa González; José Manuel Gamboa Mutuberria; Ana María Porto Castro


arXiv: Algebraic Geometry | 2016

The open quadrant problem: a topological proof

José F. Fernando; José Manuel Gamboa Mutuberria; Carlos Ueno


Boletín de la Sociedad Puig Adam de profesores de matemáticas | 2013

Factorización en algunos subanillos de C

José Francisco Fernando Galván; José Manuel Gamboa Mutuberria


Matgazine | 2010

Áreas y longitudes

José Manuel Gamboa Mutuberria


Archive | 2007

Álgebra lineal y geometría

José Francisco Fernando Galván; José Manuel Gamboa Mutuberria; Jesús María Ruiz Sancho


Archive | 2006

Iniciación al estudio de las variedades diferenciables

José Manuel Gamboa Mutuberria; Jesús María Ruiz Sancho

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Jesús María Ruiz Sancho

Complutense University of Madrid

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José F. Fernando

Complutense University of Madrid

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