Autor:	Bingham, N. H., Ostaszewski, A. J.
Rok vydání:	2017
Předmět:	Mathematics - Classical Analysis and ODEs 26A03 39B62
Druh dokumentu:	Working Paper
Popis:	We consider variants on the classical Berz sublinearity theorem, using only DC, the Axiom of Dependent Choices, rather than AC, the Axiom of Choice which Berz used. We consider thinned versions, in which conditions are imposed on only part of the domain of the function -- results of quantifier-weakening type. There are connections with classical results on subadditivity. We close with a discussion of the extensive related literature. Comment: Dedication: To Roy O. Davies on his 90-th birthday. Keywords: Dependent Choices, Homomorphism extension, Subadditivity, Sublinearity, Steinhaus-Weil property, Thinning, Quantifier weakening
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.05183 Zobrazit plný text záznamu View this record from Arxiv