http://hdl.handle.net/20.500.12128/14392
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. |
URI: | http://hdl.handle.net/20.500.12128/14392 |
ISSN: | 0860-2107 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
---|---|---|---|---|
Kuczma_On_some_analogies_between_measures.pdf | 469,87 kB | Adobe PDF | View/Open |
Uznanie autorstwa - użycie niekomercyjne, bez utworów zależnych 3.0 Polska Creative Commons License