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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

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π-embeddings and Dugundji extension theo
✍ Yasunao Hattori 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 811 KB

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