Topology Proceedings 26 No. 1 (2001-2002), pp. 311-316
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.