Locally recurrent functions, density topologies and algebraic genericity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:443

Article

Lukes, J.¹  Munoz-Fernandez, G. A.²  Petracek, P.¹  Seoane-Sepulveda, J. B.^2,3 

[1] Charles Univ Prague, Fac Math & Phys, Sokolovska 83, Prague 18675 8, Czech Republic

[2] Univ Complutense Madrid, Fac Ciencias Matemat, Dept Anal Matemat, Plaza Ciencias 3, E-28040 Madrid, Spain

[3] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid, Spain

关键词: Locally recurrent function;    Density topology;    Lineability;    Spaceability;   

DOI  :  10.1016/j.jmaa.2016.06.009

来源: Elsevier

【 摘 要 】

We study the algebraic and topological genericity of certain subsets of locally recurrent functions, obtaining (among other results) algebrability and spaceability within these classes. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free