Variants on the Berz sublinearity theorem

Ostaszewski, Adam and Bingham, N. H. (2019) Variants on the Berz sublinearity theorem. Aequationes Mathematicae, 93 (2). pp. 351-369. ISSN 0001-9054

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Abstract

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.

Item Type:	Article
Official URL:	https://link.springer.com/journal/10
Additional Information:	© 2018 The Authors
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	23 Aug 2018 11:20
Last Modified:	13 Sep 2024 13:20
URI:	http://eprints.lse.ac.uk/id/eprint/90089

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