Topology Proceedings Document # baal-25
topology proceedings
Topology Proceedings 26 No. 1 (2001-2002), pp. 311-316

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Compact-finite, H-closed dpaces

Jack Porter

An infinite H-closed space is constructed in which every compact set is finite. This result answers a question by Arhangel'skii and Strecker posed to the author in 1994. This example is used to construct a Hausdorff space with the property that the remainder of each of its H-closed extensions have the same cardinality.

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Topology Proceedings, Volume 26 No. 1 (2001-2002)
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Copyright © 2002 Auburn University and Topology Atlas | Date: November 1, 2002.