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Title: On some analogies between measure and category and their applications in the theory of additive functions
Authors: Kuczma, Marek
Keywords: additive functions; functions; Lebesgue theorem; Vitali’s covering theorem
Issue Date: 1985
Citation: Annales Mathematicae Silesianae, Nr 13 (1985), s. 155-162
Abstract: The firs t p a r t of the pape r is devoted to topological analogies of some theorems from re a l analysis (Vitali’s covering theorem, Lebesgue theorem o n oute r density, Smital’s lemma). Then we give a topological analogue of a theorem of Ostrowski connected with additive functions. In the la st p a r t we deal w ith Hamel bases, specially w ith Burstin bases. We prove th e ir existence and study topological and measure properties.
ISSN: 0860-2107
Appears in Collections:Artykuły (WNŚiT)

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