Large Function Algebras with Certain Topological Properties

Let F be a family of continuous functions defined on a compact interval. We give a sufficient condition so that F∪{0} contains a dense c-generated free algebra; in other words, F is densely c-strongly algebrable. As an application we obtain dense c-strong algebrability of families of nowhere Hölder...

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Bibliographic Details
Main Authors: Artur Bartoszewicz, Szymon Głąb
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/761924