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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Bibliographic Details
Published inApplied mathematics letters Vol. 24; no. 3; pp. 387 - 390
Main Authors Chi, Kieu Phuong, Van An, Tran
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.03.2011
Elsevier
Subjects
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
Dugundji’s extension theorem
Cone metric space
Paracompact space
Metric space
Dugundji's extension theorem
Applied mathematics
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Summary: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].
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2010.10.034