Irreducible representations of metrizable spaces and strongly countable-dimensional spaces
Richard Millspaugh, Leonard Rubin, Philip Schapiro (1995)
Fundamenta Mathematicae
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Richard Millspaugh, Leonard Rubin, Philip Schapiro (1995)
Fundamenta Mathematicae
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Kurt Girstmair (1999)
Acta Arithmetica
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J.-L. Colliot-Thélène, A. N. Skorobogatov, Sir Peter Swinnerton-Dyer (1997)
Acta Arithmetica
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G. R. Everest, K. Győry (1997)
Acta Arithmetica
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M. Guest, A. Kozlowski, K. Yamaguchi (1999)
Fundamenta Mathematicae
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We describe an alternative approach to some results of Vassiliev ([Va1]) on spaces of polynomials, by applying the "scanning method" used by Segal ([Se2]) in his investigation of spaces of rational functions. We explain how these two approaches are related by the Smale-Hirsch Principle or the h-Principle of Gromov. We obtain several generalizations, which may be of interest in their own right.
Ilijas Farah (1996)
Fundamenta Mathematicae
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We investigate some natural questions about the class of posets which can be embedded into ⟨ω,≤*⟩. Our main tool is a simple ccc forcing notion which generically embeds a given poset E into ⟨ω,≤*⟩ and does this in a “minimal” way (see Theorems 9.1, 10.1, 6.1 and 9.2).