Inverse limits and absolutes of 𝐻-closed spaces

Vinson, T. O.; Dickman, R. F.

doi:10.1090/S0002-9939-1977-0482660-X

Inverse limits and absolutes of $H$-closed spaces
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by T. O. Vinson and R. F. Dickman PDF

Proc. Amer. Math. Soc. 66 (1977), 351-358 Request permission

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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