2004
DOI: 10.1007/s00454-004-2906-4
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Abstract: This paper starts with an observation that two infinite series of simplicial complexes, which a priori do not seem to have anything to do with each other, have the same homotopy type. One series consists of the complexes of directed forests on a double directed string, while the other one consists of Shapiro-Welker models for the spaces of hyperbolic polynomials with a triple root.We explain this coincidence in the more general context by finding an explicit homotopy equivalence between complexes of directed …

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