A note on f.p.p. and $f^{*}.p.p.$

Kato, Hisao. "A note on f.p.p. and $f^*.p.p.$." Colloquium Mathematicae 66.1 (1993): 147-150. <http://eudml.org/doc/210227>.

@article{Kato1993,
abstract = {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 $X_n$ with f.p.p., but without $f^*.p.p.$ such that $X_n$ 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 $f^*.p.p.$},
author = {Kato, Hisao},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {147-150},
title = {A note on f.p.p. and $f^*.p.p.$},
url = {http://eudml.org/doc/210227},
volume = {66},
year = {1993},
}

TY - JOUR
AU - Kato, Hisao
TI - A note on f.p.p. and $f^*.p.p.$
JO - Colloquium Mathematicae
PY - 1993
VL - 66
IS - 1
SP - 147
EP - 150
AB - 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 $X_n$ with f.p.p., but without $f^*.p.p.$ such that $X_n$ 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 $f^*.p.p.$
LA - eng
UR - http://eudml.org/doc/210227
ER -