Cubical structures, homotopy theory

Rosa Antolini

doi:10.1007/BF02505901

Cubical structures, homotopy theory

Rosa Antolini^*

^*Corresponding author for this work

Manchester Institute of Education

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	317-324
Number of pages	8
Journal	Annali di Matematica Pura ed Applicata
Volume	178
Issue number	1
DOIs	https://doi.org/10.1007/BF02505901
Publication status	Published - 2000

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abstract = "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.",

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Cubical structures, homotopy theory

Abstract

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