Displaying similar documents to “Equivalence of compositional expressions and independence relations in compositional models”

Graphical major indices. II.

Foata, Dominique, Krattenthaler, Christian (1995)

Séminaire Lotharingien de Combinatoire [electronic only]

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Some debts I owe.

Andrews, George E. (1999)

Séminaire Lotharingien de Combinatoire [electronic only]

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If it looks and smells like the reals...

Franklin Tall (2000)

Fundamenta Mathematicae

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Given a topological space ⟨X,T⟩ ∈ M, an elementary submodel of set theory, we define X M to be X ∩ M with topology generated by U ∩ M:U ∈ T ∩ M. We prove that if X M is homeomorphic to ℝ, then X = X M . The same holds for arbitrary locally compact uncountable separable metric spaces, but is independent of ZFC if “local compactness” is omitted.

The Dugundji extension property can fail in ωµ -metrizable spaces

Ian Stares, Jerry Vaughan (1996)

Fundamenta Mathematicae

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We show that there exist ω μ -metrizable spaces which do not have the Dugundji extension property ( 2 ω 1 with the countable box topology is such a space). This answers a question posed by the second author in 1972, and shows that certain results of van Douwen and Borges are false.

Entropy and growth of expanding periodic orbits for one-dimensional maps

A. Katok, A. Mezhirov (1998)

Fundamenta Mathematicae

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Let f be a continuous map of the circle S 1 or the interval I into itself, piecewise C 1 , piecewise monotone with finitely many intervals of monotonicity and having positive entropy h. For any ε > 0 we prove the existence of at least e ( h - ε ) n k periodic points of period n k with large derivative along the period, | ( f n k ) ' | > e ( h - ε ) n k for some subsequence n k of natural numbers. For a strictly monotone map f without critical points we show the existence of at least ( 1 - ε ) e h n such points.