A note on f.p.p. and f*.p.p.
Kato, Hisao
Colloquium Mathematicae, Tome 66 (1993), p. 147-150 / Harvested from The Polish Digital Mathematics Library
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In [3], Kinoshita defined the notion of f*.p.p. and he proved that each compact AR has f*.p.p. In [4], Yonezawa gave some examples of not locally connected continua with f.p.p., but without f*.p.p. In general, for each n=1,2,..., there is an n-dimensional continuum Xn with f.p.p., but without f*.p.p. such that Xn is locally (n-2)-connected (see [4, Addendum]). In this note, we show that for each n-dimensional continuum X which is locally (n-1)-connected, X has f.p.p. if and only if X has f*.p.p.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210227 
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     title = {A note on f.p.p. and $f^*.p.p.$
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     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {147-150},
     zbl = {0827.54028},
     language = {en},
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Kato, Hisao. A note on f.p.p. and $f^*.p.p.$
            . Colloquium Mathematicae, Tome 66 (1993) pp. 147-150. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv66i1p147bwm/

[000] [1] K. Borsuk, Theory of Retracts, Monografie Mat. 44, PWN, Warszawa, 1967. | Zbl 0153.52905

[001] [2] H. Cook, Continua which admit only the identity mapping onto non-degenerate subcontinua, Fund. Math. 60 (1967), 241-249. | Zbl 0158.41503

[002] [3] S. Kinoshita, On essential components of the set of fixed points, Osaka J. Math. 4 (1952), 19-22. | Zbl 0047.16204

[003] [4] Y. Yonezawa, On f.p.p. and f*.p.p. of some not locally connected continua, Fund. Math. 139 (1991), 91-98. | Zbl 0754.54031