Some Recent Results on Squarefree Words

Jean Berstel

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Displaying similar documents to “Some Recent Results on Squarefree Words”

Square-free and overlap-free words

A. J. Kfoury (1988)

Banach Center Publications

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The nucleus of the free alternative algebra.

Hentzel, I.R., Peresi, L.A. (2006)

Experimental Mathematics

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Generalized sum-free subsets.

Caro, Yair (1990)

International Journal of Mathematics and Mathematical Sciences

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There are more than $2^{n / 17}$ $n$ -letter ternary square-free words.

Ekhad, Shalosh B., Zeilberger, Doron (1998)

Journal of Integer Sequences [electronic only]

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Fixed-point free maps of Euclidean spaces

R. Z. Buzyakova, A. Chigogidze (2011)

Fundamenta Mathematicae

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Our main result states that every fixed-point free continuous self-map of ℝⁿ is colorable. This result can be reformulated as follows: A continuous map f: ℝⁿ → ℝⁿ is fixed-point free iff f̃: βℝⁿ → βℝⁿ is fixed-point free. We also obtain a generalization of this fact and present some examples