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Displaying similar documents to “Monotonic solutions of functional integral and differential equations of fractional order.”

On composants of solenoids

Ronald de Man (1995)

Fundamenta Mathematicae

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It is proved that any two composants of any two solenoids are homeomorphic.

Dominating analytic families

Anastasis Kamburelis (1998)

Fundamenta Mathematicae

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Let A be an analytic family of sequences of sets of integers. We show that either A is dominated or it contains a continuum of almost disjoint sequences. From this we obtain a theorem by Shelah that a Suslin c.c.c. forcing adds a Cohen real if it adds an unbounded real.

Properly homotopic nontrivial planes are isotopic

Bobby Winters (1995)

Fundamenta Mathematicae

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It is proved that two planes that are properly homotopic in a noncompact, orientable, irreducible 3-manifold that is not homeomorphic to 3 are isotopic. The end-reduction techniques of E. M. Brown and C. D. Feustal and M. G. Brin and T. L. Thickstun are used.