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Título:
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Cardinal coefficients related to surjectivity, darboux, and sierpi?ski-zygmund maps
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Autores:
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Ciesielski, Krzysztof Chris ;
Gámez Merino, José Luis ;
Mazza, L. ;
Seoane-Sepúlveda, Juan B.
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Tipo de documento:
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texto impreso
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Editorial:
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American Mathematical Society, 2017
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Materia = Ciencias: Matemáticas: Funciones (Matemáticas)
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Tipo = Artículo
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Resumen:
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We investigate the additivity A and lineability L cardinal coeffiients for the following classes of functions: ES\SES of everywhere surjective functions that are not strongly everywhere surjective, Darboux-like, Sierpinski-Zygmund, surjective, and their corresponding intersections. The classes SES and ES have been shown to be 2c-lineable. In contrast, although we prove here that ES\SES is c+-lineable, it is still unclear whether it can be proved in ZFC that ES\SES is 2c-lineable. Moreover, we prove that if c is a regular cardinal number, then A(ES\SES) ? c. This shows that, for the class ES\SES, there is an unusually large gap between the numbers A and L.
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En línea:
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https://eprints.ucm.es/41510/1/Seoane114.pdf
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