The main purpose of this paper is to prove some theorems concerning inverse systems and limits of continuous images of arcs. In particular, we shall prove that if X = {Xa, pab, A} is an inverse system of continuous images of arcs with monotone bonding mappings such that cf (card (A)) ≠ w1, then X = lim X is a continuous image of an arc if and only if each proper subsystem {Xa, pab, B} of X with cf(card (B)) = w1 has the limit which is a continuous image of an arc (Theorem 18).
@article{urn:eudml:doc:41375,
title = {A note on inverse limits of continuous images of arcs.},
journal = {Publicacions Matem\`atiques},
volume = {43},
year = {1999},
pages = {485-499},
mrnumber = {MR1744619},
zbl = {1016.54009},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41375}
}
Loncar, Ivan. A note on inverse limits of continuous images of arcs.. Publicacions Matemàtiques, Tome 43 (1999) pp. 485-499. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41375/