José Manuel Gamboa Mutuberria
Complutense University of Madrid
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Featured researches published by José Manuel Gamboa Mutuberria.
Transactions of the American Mathematical Society | 2012
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
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
Antonio Félix Costa González; Ana María Porto Castro; José Manuel Gamboa Mutuberria
Archive | 2002
José Manuel Gamboa Mutuberria; Jesús María Ruiz Sancho
Archive | 1998
Antonio Félix Costa González; José Manuel Gamboa Mutuberria; Ana María Porto Castro
arXiv: Algebraic Geometry | 2016
José F. Fernando; José Manuel Gamboa Mutuberria; Carlos Ueno
Boletín de la Sociedad Puig Adam de profesores de matemáticas | 2013
José Francisco Fernando Galván; José Manuel Gamboa Mutuberria
Matgazine | 2010
José Manuel Gamboa Mutuberria
Archive | 2007
José Francisco Fernando Galván; José Manuel Gamboa Mutuberria; Jesús María Ruiz Sancho
Archive | 2006
José Manuel Gamboa Mutuberria; Jesús María Ruiz Sancho