Linearly ordered Eberlein compact spaces

H. R. Bennett; D. J. Lutzer; J. M. van Wouwe

doi:10.1016/0166-8641(81)90025-0

Linearly ordered Eberlein compact spaces

H. R. Bennett, D. J. Lutzer, J. M. van Wouwe

Mathematics and Statistics

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Abstract

In this note we prove that every Eberlein compact linearly ordered space is metrizable. (By an Eberlein compact space we mean a topological space which can be embedded as a compact subset of a Banach space with the weak topology.).

Original language	English
Pages (from-to)	11-18
Number of pages	8
Journal	Topology and its Applications
Volume	12
Issue number	1
DOIs	https://doi.org/10.1016/0166-8641(81)90025-0
State	Published - Jan 1981

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title = "Linearly ordered Eberlein compact spaces",

abstract = "In this note we prove that every Eberlein compact linearly ordered space is metrizable. (By an Eberlein compact space we mean a topological space which can be embedded as a compact subset of a Banach space with the weak topology.).",

author = "Bennett, {H. R.} and Lutzer, {D. J.} and {van Wouwe}, {J. M.}",

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Linearly ordered Eberlein compact spaces

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