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Selections and weak orderability

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Hrušák M., Martínez-Ruiz I.

Fundamenta Mathematicae

2009

tom 203

nr 1

1-20

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.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Hrušák M.

1 Martínez-Ruiz I.

1 2009

Wyniki wyszukiwania

Selections and weak orderability