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
✦ LIBER ✦
Continuous Functions That Are Locally Constant on Dense Sets
✍ Scribed by M.E. Rudin; W. Rudin
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 297 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
A compact Hausdorff space (T) is constructed on which the constant functions are the only real-valued continuous ones that are locally constant on a dense subset of (T). ir. 1995 Academic Press. Inc
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