Electronic Version 18 (1993), 195-207
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Electronic Version 18 (1993), 195-207 | |
Douglas D. Mooney
H-bounded sets were introduced by Lambrinos in 1976. Recently they have proven to be useful in the study of extensions of Hausdorff spaces. In this context the question has arisen: Is every H-bounded set the subset of an H-set? This was originally asked by Lambrinos along with the questions: Is every H-bounded set the subset of a countably H-set? and Is every countably H-bounded set the subset of a countably H-set? In this paper, an example is presented which gives a no answer to each of these questions. Some new characterizations and properties of H-bounded sets are also examined.
volume 18: table of contents
topology proceedings
Electronic Version