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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Inverse limits and absolutes of $ H$-closed spaces


Authors: T. O. Vinson and R. F. Dickman
Journal: Proc. Amer. Math. Soc. 66 (1977), 351-358
MSC: Primary 54D25
MathSciNet review: 0482660
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0482660-X
PII: S 0002-9939(1977)0482660-X
Article copyright: © Copyright 1977 American Mathematical Society