Ultraparacompactness in certain Pixley-Roy hyperspaces
Harold Bennett, William Fleissner, David Lutzer (1981)
Fundamenta Mathematicae
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Harold Bennett, William Fleissner, David Lutzer (1981)
Fundamenta Mathematicae
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Richard Hodel (1975)
Fundamenta Mathematicae
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Tetsuya Ishiu, Justin Tatch Moore (2009)
Fundamenta Mathematicae
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We will characterize-under appropriate axiomatic assumptions-when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming PFA⁺, the only linear orders which are minimal with respect to not being σ-scattered are either Countryman types or real types. We also outline a plausible approach to demonstrating the relative consistency of: There are no minimal non-σ-scattered linear orders. In the process of establishing these results,...
G. Reed (1972)
Fundamenta Mathematicae
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Ernest A. Michael (1971)
Compositio Mathematica
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David Addis, John Gresham (1978)
Fundamenta Mathematicae
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Teodor Przymusiński (1980)
Fundamenta Mathematicae
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Judy Roitman (1979)
Fundamenta Mathematicae
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T. Przymusiński (1973)
Fundamenta Mathematicae
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Giuliano Artico, Roberto Moresco (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Z. Balogh (1981)
Fundamenta Mathematicae
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