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Generating ordered topological spaces from LOTS

✍ Scribed by H. Herrlich; E.H. Kronheimer

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 57 KB
Volume: 105
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00060-7

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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