## 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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## Additional Information

- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**66**(1977), 351-358 - MSC: Primary 54D25
- DOI: https://doi.org/10.1090/S0002-9939-1977-0482660-X
- MathSciNet review: 0482660