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Topological Properties of the Continuous Function Spaces on Some Ordered Compacta

✍ Scribed by Kubiś, W.; Moltó, A.; Troyanski, S.


Book ID
121594780
Publisher
Springer Netherlands
Year
2013
Tongue
English
Weight
334 KB
Volume
21
Category
Article
ISSN
1877-0533

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The totally ordered spaces that are compact and connected in their order topologies are characterized as images of lexicographic cubes. The Banach space of continuous functions on the lexicographic product of compact totally ordered spaces, whose spaces of continuous functions have locally uniformly