Cubical structures, homotopy theory

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We investigate the categories of semi-cubical complexes with or loithout degeneracies. We prove that the Kan condition does not imply that a semi-cubical complex admits degeneracies and that, unlike the simplicial case, there is no cubical approximation theorem while we prove such a theorem for semi-cubical complexes with degeracies.

Original languageEnglish
Pages (from-to)317-324
Number of pages8
JournalAnnali di Matematica Pura ed Applicata
Issue number1
Publication statusPublished - 2000


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