A convenient category for directed homotopy

Lisbeth Fajstrup, J. Rosický

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Abstract

We propose a convenient category for directed homotopy consisting of preordered topological spaces generated by cubes. Its main advantage is that, like the category of topological spaces generated by simplices suggested by J. H. Smith, it is locally presentable.
Original languageEnglish
PublisherDepartment of Mathematical Sciences, Aalborg University
Number of pages14
Publication statusPublished - 2007
SeriesResearch Report Series
NumberR-2007-18
ISSN1399-2503

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