Selections and weak orderability

• Autorzy: Michael Hrušák , Iván Martínez-Ruiz
• Języki publikacji: EN

Abstrakty

EN

We answer a question of van Mill and Wattel by showing that there is a separable locally compact space which admits a continuous weak selection but is not weakly orderable. Furthermore, we show that a separable space which admits a continuous weak selection can be covered by two weakly orderable spaces. Finally, we give a partial answer to a question of Gutev and Nogura by showing that a separable space which admits a continuous weak selection admits a continuous selection for all finite sets.

Kategorie tematyczne

• 05C80: Random graphs
• 54B20: Hyperspaces
• 54C65: Selections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 203
• Numer: 1
• Strony: 1-20

Daty

wydano

2009

Twórcy

autor

Michael Hrušák

• Instituto de Matemáticas, UNAM, Apartado Postal 61-3, Xangari, 58089, Morelia, Michoacán, México

autor

Iván Martínez-Ruiz

• Instituto de Matemáticas, UNAM, Apartado Postal 61-3, Xangari, 58089, Morelia, Michoacán, México

Identyfikatory

DOI

10.4064/fm203-1-1