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Images of ordered
compacta are locally peripherally metric
Sibe Mardesic |
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Vol. 23 (1967), No. 3, 557–568
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Abstract |
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In this paper we study the class ℝ of Hausdorff compact spaces X which are obtainable as images of ordered compacta K under (continuous) maps f : K → X onto X. The topology of K is the order topology induced by a total (linear) ordering < on K. We find that X is locally peripherally metric (Theorem 5), i.e., it has a basis of open sets with metrizable frontiers. |
Mathematical Subject Classification
Primary: 54.56
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Milestones
Received: 18 April 1966
Published: 1 December 1967
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Authors |
| Sibe Mardesic | |
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