A connected \(F\)-space
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Publication:850596
DOI10.1007/S11117-005-0031-0zbMATH Open1113.54021arXivmath/0403193OpenAlexW3105164833MaRDI QIDQ850596
Publication date: 3 November 2006
Published in: Positivity (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/math/0403193
Continua and generalizations (54F15) Counterexamples in general topology (54G20) Extremally disconnected spaces, (F)-spaces, etc. (54G05)
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