# Pseudo orbit tracing property and fixed points

Annales Polonici Mathematici (1996)

- Volume: 63, Issue: 2, page 183-186
- ISSN: 0066-2216

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topMasatoshi Oka. "Pseudo orbit tracing property and fixed points." Annales Polonici Mathematici 63.2 (1996): 183-186. <http://eudml.org/doc/262698>.

@article{MasatoshiOka1996,

abstract = {If a continuous map f of a compact metric space has the pseudo orbit tracing property and is h-expansive then the set of all fixed points of f is totally disconnected.},

author = {Masatoshi Oka},

journal = {Annales Polonici Mathematici},

keywords = {pseudo orbit tracing property; h-expansive; -expansive map},

language = {eng},

number = {2},

pages = {183-186},

title = {Pseudo orbit tracing property and fixed points},

url = {http://eudml.org/doc/262698},

volume = {63},

year = {1996},

}

TY - JOUR

AU - Masatoshi Oka

TI - Pseudo orbit tracing property and fixed points

JO - Annales Polonici Mathematici

PY - 1996

VL - 63

IS - 2

SP - 183

EP - 186

AB - If a continuous map f of a compact metric space has the pseudo orbit tracing property and is h-expansive then the set of all fixed points of f is totally disconnected.

LA - eng

KW - pseudo orbit tracing property; h-expansive; -expansive map

UR - http://eudml.org/doc/262698

ER -

## References

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- [2] R. Bowen, Entropy-expansive maps, Trans. Amer. Math. Soc. 164 (1972), 323-331. Zbl0229.28011
- [3] R. Bowen, Entropy for group endomorphisms and homogeneous spaces, Trans. Amer. Math. Soc. 153 (1971), 401-414. Zbl0212.29201
- [4] M. Dateyama, Homeomorphisms with the pseudo orbit tracing property of the Cantor set, Tokyo J. Math. 6 (1983), 287-290. Zbl0533.58019
- [5] M. Denker, C. Grillenberger and K. Sigmund, Ergodic Theory on Compact Spaces, Lecture Notes in Math. 527, Springer, 1976. Zbl0328.28008
- [6] W. Hurewicz and H. Wallman, Dimension Theory, Princeton University Press, 1948.
- [7] M. Misiurewicz, Diffeomorphisms without any measure with maximal entropy, Bull. Acad. Polon. Sci. 21 (1973), 903-910. Zbl0272.28013
- [8] A. Morimoto, The method of pseudo-orbit tracing and stability of dynamical systems, Seminar note 39, University of Tokyo, 1979 (in Japanese).
- [9] T. Shimomura, On a structure of discrete dynamical systems from the view point of chain components and some applications, Japan. J. Math. 15 (1989), 99-126. Zbl0691.54026

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