Abstract
The inverse limit of an inverse system of nonempty (respectively, minimal Hausdorff) H-closed spaces with continuous open surjective bonding maps is shown to be a nonempty H-closed (respectively, minimal Hausdorff) space. This result is used to resolve a conjecture, in the affirmative, of S. W. Willard: Every H-closed space is the continuous and open image of a minimal Hausdorff space.
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