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First-Return Limiting Notions and Rings of Sharkovsky Functions
Helena Pawlak and Ryszard J. Pawlak
Source: Real Anal. Exchange Volume 34, Number 2 (2008), 549-564.
Abstract
In this paper we apply some elements of real analysis theory to the distinguishing of the certain subclass of the class of functions possessing Sharkovsky property. The main aim of this is connected with the answer to the following question: what kind of assumption should we impose on Sharkovsky function $f$ in order to have that there exists a ring of functions possessing Sharkovsky property containing $f$?
Primary Subjects: 26A18, 37E15
Secondary Subjects: 26A15, 54C40, 54H25
Keywords: od-set; Darboux function; first-return continuity; $\cal S$-function; Sharkovsky function; ring of functions; trajectory; property $\cal J$; family substituted by a subfamily
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rae/1256835205
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