A+ CATEGORY SCIENTIFIC UNIT

Weak orderability of second countable spaces

Volume 196 / 2007

Valentin Gutev Fundamenta Mathematicae 196 (2007), 275-287 MSC: 54B20, 54C65, 54F05. DOI: 10.4064/fm196-3-4

Abstract

We demonstrate that a second countable space is weakly orderable if and only if it has a continuous weak selection. This provides a partial positive answer to a question of van Mill and Wattel.

Authors

  • Valentin GutevSchool of Mathematical Sciences
    University of KwaZulu-Natal
    Westville Campus
    Private Bag X54001, Durban 4000, South Africa
    e-mail

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