Open maps having the Bula property

Valentin Gutev, and Vesko Valov. "Open maps having the Bula property." Fundamenta Mathematicae 205.2 (2009): 91-104. <http://eudml.org/doc/282995>.

@article{ValentinGutev2009,
abstract = {An open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed sets F₀,F₁ ⊂ X with f(F₀) = Y = f(F₁), provided all fibers of f are infinite and C*-embedded in X. Applications are given to the existence of "disjoint" usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and to special type of factorizations of open continuous maps from metrizable spaces onto paracompact C-spaces. This settles several open questions.},
author = {Valentin Gutev, Vesko Valov},
journal = {Fundamenta Mathematicae},
keywords = {dimension; C-space; set-valued mapping; selection},
language = {eng},
number = {2},
pages = {91-104},
title = {Open maps having the Bula property},
url = {http://eudml.org/doc/282995},
volume = {205},
year = {2009},
}

TY - JOUR
AU - Valentin Gutev
AU - Vesko Valov
TI - Open maps having the Bula property
JO - Fundamenta Mathematicae
PY - 2009
VL - 205
IS - 2
SP - 91
EP - 104
AB - An open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed sets F₀,F₁ ⊂ X with f(F₀) = Y = f(F₁), provided all fibers of f are infinite and C*-embedded in X. Applications are given to the existence of "disjoint" usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and to special type of factorizations of open continuous maps from metrizable spaces onto paracompact C-spaces. This settles several open questions.
LA - eng
KW - dimension; C-space; set-valued mapping; selection
UR - http://eudml.org/doc/282995
ER -