𝔖 Bobbio Scriptorium
✦   LIBER   ✦

COEXISTENCE OF CYCLES OF A CONTINUOUS MAP OF THE LINE INTO ITSELF

✍ Scribed by SHARKOVSKIĬ, A. N.


Book ID
121016932
Publisher
World Scientific Publishing Company
Year
1995
Tongue
English
Weight
567 KB
Volume
05
Category
Article
ISSN
0218-1274

No coin nor oath required. For personal study only.

✦ Synopsis


The basic result of this investigation may be formulated as follows. Consider the set of natural numbers in which the following relationship is introduced: n~1~ precedes n~2~ (n~1~ ≼ n~2~) if for any continuous mapping of the real line into itself the existence of a cycle of order n~2~ follows from the existence of a cycle of order n~1~. The following theorem holds.


📜 SIMILAR VOLUMES