Abstract
A Tychonoff spaceX is Specker if for eachf∈C(X),f≠0, there is a clopen setV over whichf is both non-zero and constant. Algebraic conditions are presented under which the absolute of a compact Specker space is Specker. It is shown that this is so for all compact almost P-spaces, continuing the study of the question of when the absolute of a Specker space is Specker.
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Martinez, J., Woodward, S. Specker spaces and their absolutes II. Algebra Universalis 35, 333–341 (1996). https://doi.org/10.1007/BF01197178
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DOI: https://doi.org/10.1007/BF01197178