Abstract
An F-compactum or a Fedorchuk compactum is a Hausdorff compact space that admits decomposition into a special well-ordered inverse system with fully closed neighboring projections. We prove that the square of Aleksandroff’s “double arrow” space is not an F-compactum of countable spectral height. Using this, we demonstrate the impossibility of representing the Helly space as the inverse limit of a countable system of resolutions with metrizable fibers. This gives a negative answer to a question posed by Watson in 1992.
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Original Russian Text Copyright © 2018 Ivanov A.V.
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Ivanov, A.V. On Products of F-Compact Spaces. Sib Math J 59, 270–275 (2018). https://doi.org/10.1134/S003744661802009X
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DOI: https://doi.org/10.1134/S003744661802009X