Open maps having the Bula property

• Autorzy: Valentin Gutev , Vesko Valov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54C35: Function spaces
• 54C60: Set-valued maps
• 55M10: Dimension theory
• 54B20: Hyperspaces
• 54F35: Higher-dimensional local connectedness
• 54C65: Selections
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 205
• Numer: 2
• Strony: 91-104

Daty

wydano

2009

Twórcy

autor

Valentin Gutev

• School of Mathematical Sciences, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South Africa

autor

Vesko Valov

• Department of Computer Science and Mathematics, Nipissing University, 100 College Drive, P.O. Box 5002, North Bay, ON, P1B 8L7, Canada

Identyfikatory

DOI

10.4064/fm205-2-1