A connected F-space
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🧮 math.GN
math.FA
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connectedf-spaceabramovichanswerscompactcontinuousdenseexample
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We present an example of a compact connected F-space with a continuous real-valued function f for which the union of the interiors of its fibers is not dense. This indirectly answers a question from Abramovich and Kitover in the negative.
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