Dugundji’s theorem for cone metric spaces

In this work, we will prove the Dugundji extension theorem for the cone metric space. It is heavily reliant on the paracompactness of the cone topology that is proved by Ayse Sönmez in the paper Sönmez (2010) [11].

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Veröffentlicht in:	Applied mathematics letters 2011-03, Vol.24 (3), p.387-390
Hauptverfasser:	Chi, Kieu Phuong, Van An, Tran
Format:	Artikel
Sprache:	eng
Schlagworte:	Cone metric space Dugundji’s extension theorem Exact sciences and technology General topology Mathematical analysis Mathematics Metric space Numerical analysis Numerical analysis. Scientific computation Paracompact space Sciences and techniques of general use Theorems Topology Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Beschreibung
Zusammenfassung:	In this work, we will prove the Dugundji extension theorem for the cone metric space. It is heavily reliant on the paracompactness of the cone topology that is proved by Ayse Sönmez in the paper Sönmez (2010) [11].
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2010.10.034