Embedding ordered topological spaces into topological semilattices
β Scribed by T. H. Choe; Y. S. Park
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 505 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0037-1912
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π SIMILAR VOLUMES
Given a completely regular space X with two uniformities b/I and/-/r both generating the original topology of X, we consider the question wbeth~ there exists a Hausdofff topological group G comaining X as a subspace such that \*Vlx = b/~ and V\* Ix = b/r, where \*~ and ~;\* are respectively the left
In this paper we will give a!11 intern:31. charatierization of tog~ological lc=embedded spaces.
Any totally ordered set equipped with a topology possessing a subbase consisting wholly of end sets can be constructed from LOTS by repeatedly taking subspaces, quotient spaces and inverse limits. We prove that none of these three operations can be omitted from the construction.