A convenient category for directed homotopy

By Lisbeth Fajstrup, Jirí Rosický. Theory and Applications of Categories, 2007

83 citations recorded by the source corpus.

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.

Subfields: Management Science and Operations Research, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c8b1bcadc0bf007e1b6884efcdde2a8d42688096

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

1. Enxin Wu
2. J. Christensen
3. Gord Sinnamon

In Mathematical Physics

1. Kathleen Ponto
2. Enxin Wu
3. J. Christensen
4. Gord Sinnamon
5. Jon P. May
6. James Gillespie
7. Michael Shulman
8. J. Sigurdsson

Citations in the corpus

• More Concise Algebraic Topology: Localization, Completion, and Model Categories (2012, background): “The insight is due to Jeff Smith (unpublished); published sources are [9, 45].”
• The D-topology for diffeological spaces (2013, methodology): “2010], which were introduced by Jeff Smith as a possible convenient category for homotopy theory and were studied in [Dugger 2003; Fajstrup and Rosický 2008].”