Uniform Convergence and Transitive Subsets

Lei Liu, Shuli Zhao and Hongliang Liang

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-7

Abstract:

Let be a metric space and a sequence of continuous maps that converges uniformly to a map . We investigate the transitive subsets of whether they can be inherited by or not. We give sufficient conditions such that the limit map has a transitive subset. In particular, we show the transitive subsets of that can be inherited by if converges uniformly strongly to .

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2012/970934.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2012/970934.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:970934

DOI: 10.1155/2012/970934

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().