Co-H-grupos: Obstrucción a la commutatividad y aplicaciones centrales.
Natural operations on holomorphic forms
We prove that the only natural differential operations between holomorphic forms on a complex manifold are those obtained using linear combinations, the exterior product and the exterior differential. In order to accomplish this task we first develop the basics of the theory of natural holomorphic bundles over a fixed manifold, making explicit its Galoisian structure by proving a categorical equivalence à la Galois.
Co-H-estructuras sobre la unión puntual de dos Co-H-espacios.
Averages of uniformly continuous retractions
Let X be an infinite-dimensional complex normed space, and let B and S be its closed unit ball and unit sphere, respectively. We prove that the identity map on B can be expressed as an average of three uniformly retractions of B onto S. Moreover, for every 0≤ r < 1, the three retractions are Lipschitz on rB. We also show that a stronger version where the retractions are required to be Lipschitz does not hold.
Diameter, extreme points and topology
We study the extremal structure of Banach spaces of continuous functions with the diameter norm.
Mathematical theory of musical scales.
Our aim is to look for precise definitions of musical concepts. In this work we present the concepts we have been able to derive from the concept of pitch (high-low aspect of musical sounds). Now, pitches being the primitive concept, they will not be defined from a previous concept, but from their mutual relationships.
Criterio R-ε para juegos matemáticos bipersonales.
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