A new universal real flow of the Hilbert-cubical type. Issue 2 (3rd April 2019)

• Record Type: Journal Article
• Authors: Jin, Lei; Tu, Siming
• Is Part Of: Dynamical systems. Volume 34:Issue 2(2019)
• Page Start: 234
• Page End: 238
• Publication Date: 2019-04-03
• Subjects: Hilbert cube -- universal flow -- equivariant embedding; 37B05 -- 54H20; Differentiable dynamical systems -- Periodicals; 515.35205
• DOI: 10.1080/14689367.2018.1499875
• Languages: English
• ISSNs: 1468-9367

Abstract

ABSTRACT: We provide a new universal real flow of the Hilbert-cubical type. We prove that any real flow can be equivariantly embedded in the translation onL ( R ) N, whereL ( R ) denotes the space of 1-Lipschitz functionsf : R → [ 0, 1 ] . Furthermore, all those functions inL ( R ) N that are images of such embeddings can be chosen asC 1 -functions.