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Article

Šeda, Valter
A remark to the paper “On condensing discrete dynamical systems”. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 551-553
MSC: 37B05, 37B99, 37C99, 47H07, 47H09, 47H10 | MR 1970257 | Zbl 0996.37008 | DOI: 10.21136/MB.2001.134194
Keywords:
condensing discrete dynamical system; singular interval; stability; order-preserving mapping
Summary:
In the paper a new proof of Lemma 11 in the above-mentioned paper is given. Its original proof was based on Theorem 3 which has been shown to be incorrect.
References:
[1] N. Dancer: An example of a set. Personal communication.
[2] L. Górniewicz: Topological structure of solution sets: Current results. Arch. Math. (Brno) 36 (2000), 343–382. MR 1822805
[3] C. Kuratowski: Topologie, Vol. II. Pol. Tow. Mat., Warszawa, 1952. MR 0054232 | Zbl 0049.39704
[4] V. Šeda: On condensing discrete dynamical systems. Math. Bohem. 125 (2000), 275–306. MR 1790121
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