Comparing cubical and globular directed paths
نویسندگان
چکیده
A flow is a directed space structure on homotopy type. It already known that the underlying type of realization precubical set as equivalent to topological space. This depends non-canonical choice q-cofibrant replacement. We construct new functor from sets flows which previous one and does not depend any cofibrant replacement functor. The main tool notion natural $d$-path introduced by Raussen. we obtain for given anymore but still m-cofibrant. As an application, prove execution paths nonconstant $d$-paths between vertices in geometric set.
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2023
ISSN: ['0016-2736', '1730-6329']
DOI: https://doi.org/10.4064/fm219-3-2023