A convenient category for directed homotopy

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Authors

FAJSTRUP L. ROSICKÝ J.

Year of publication 2008
Type Article in Periodical
Magazine / Source Theory and Applications of Categories
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords locally presentable category;simplex-generated spaces;directed homotopy;dicovering
Description We propose a category which is convenient for directed homotopy consisting of directed topological spaces generatednby directed cubes. Its main advantage is that, like the category of topological spaces generated by simplices suggested by J. H. Smith, it is locally presentable.
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