Extending generalized Whitney maps

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2017 Croatia English Publisher:Masaryk University PressJournal:Archivum Mathematicum (issn: 0044-8753, eissn: 1212-5059,

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Authors: Lončar, Ivan;

doi: 10.5817/am2017-2-65

Extending generalized Whitney maps

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Abstract

For metrizable continua, there exists the well-known notion of a Whitney map. If X is a nonempty, compact, and metric space, then any Whitney map for any closed subset of 2X can be extended to a Whitney map for 2X [3, 16.10 Theorem]. The main purpose of this paper is to prove some generalizations of this theorem.

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Croatia

Keywords

Continua and generalizations, extending generalized Whitney map, hyperspace, Extending generalized Whitney map ; Hyperspace, Hyperspaces in general topology

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