The Structure of Disjoint Groups of Continuous Functions
Joint Authors
Khani Robati, B.
Farzadfard, Hojjat
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Let I be an open interval.
We describe the general structure of groups of continuous self functions on I which are disjoint, that is, the graphs of any two distinct elements of them do not intersect.
Initially the class of all disjoint groups of continuous functions is divided in three subclasses: cyclic groups, groups the limit points of their orbits are Cantor-like sets, and finally those the limit points of their orbits are the whole interval I.
We will show that (1) each group of the second type is conjugate, via a specific homeomorphism, to a piecewise linear group of the same type; (2) each group of the third type is a subgroup of a continuous disjoint iteration group.
We conclude the Zdun's result on the structure of disjoint iteration groups of continuous functions as special case of our results.
American Psychological Association (APA)
Farzadfard, Hojjat& Khani Robati, B.. 2012. The Structure of Disjoint Groups of Continuous Functions. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-498332
Modern Language Association (MLA)
Farzadfard, Hojjat& Khani Robati, B.. The Structure of Disjoint Groups of Continuous Functions. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-498332
American Medical Association (AMA)
Farzadfard, Hojjat& Khani Robati, B.. The Structure of Disjoint Groups of Continuous Functions. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-498332
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498332