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A characterization of zero topological entropy for a class of triangular mappings

✍ Scribed by Juan Luis García Guirao; Jacek Chudziak

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
168 KB
Volume
287
Category
Article
ISSN
0022-247X

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✦ Synopsis

Sharkovskiȋ and Kolyada (1991)
stated the problem of characterization triangular mappings having zero topological entropy. It is known that, even under some additional assumptions, this aim has not been reached. We solve this problem in the class of triangular mappings with basis map having closed set of periodic points.

📜 SIMILAR VOLUMES

Hereditarily weakly confluent maps and a
Hereditarily weakly confluent maps and a characterization of Class HW
✍ E.E. Grace; E.J. Vought 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 90 KB

First it is proved that the image of any hereditarily unicoherent continuum under a hereditarily weakly confluent map is also hereditarily unicoherent. This answers a question raised in 1979 by T. Maćkowiak. Second, a characterization is established for Class HW, i.e., for the class of all continua