Dugundji's extension theorem for the normal cone metric space. The aim of this paper is to prove this in the frame of the tvs-cone spaces in which the cone does not need to be normal. Examples are given to illustrate the results.
✦ LIBER ✦
Dugundji’s theorem for cone metric spaces
✍ Scribed by Kieu Phuong Chi; Tran Van An
- Book ID
- 108052597
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 209 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
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We study generalized ordered spaces in which every closed subspace is r-embedded and which satisfy the Dugundji Extension Theorem. We prove: Let X be a perfectly normal generalized ordered space in which the set E(X) = {z E X: Then every closed subspace of X is n-embedded. Furthermore, for every cl