# A note on inverse limits of continuous images of arcs.

Publicacions Matemàtiques (1999)

- Volume: 43, Issue: 2, page 485-499
- ISSN: 0214-1493

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topLoncar, Ivan. "A note on inverse limits of continuous images of arcs.." Publicacions Matemàtiques 43.2 (1999): 485-499. <http://eudml.org/doc/41375>.

@article{Loncar1999,

abstract = {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).},

author = {Loncar, Ivan},

journal = {Publicacions Matemàtiques},

keywords = {Arcos; Topología Hausdorff; Topología límite; Variedades topológicas; inverse systems; continuous images of arcs},

language = {eng},

number = {2},

pages = {485-499},

title = {A note on inverse limits of continuous images of arcs.},

url = {http://eudml.org/doc/41375},

volume = {43},

year = {1999},

}

TY - JOUR

AU - Loncar, Ivan

TI - A note on inverse limits of continuous images of arcs.

JO - Publicacions Matemàtiques

PY - 1999

VL - 43

IS - 2

SP - 485

EP - 499

AB - 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).

LA - eng

KW - Arcos; Topología Hausdorff; Topología límite; Variedades topológicas; inverse systems; continuous images of arcs

UR - http://eudml.org/doc/41375

ER -

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