摘要

In this paper, we show the following statements: (1) There exists a Tychonoff pseudocompact, star-Hurewicz space having a regular-closed subspace which is not star-Hurewicz; (2) Assuming omega(1) < b, there exists a Tychonoff strongly star-Hurewicz (hence star-Hurewicz) space having a regular-closed G(delta)-subspace which is not star-Hurewicz (hence not strongly star-Hurewicz); (3) An open F-sigma-subset of a strongly star-Hurewicz space is strongly star-Hurewicz.