Enriched diagrams of topological spaces over locally contractible enriched categories
Abstract
It is proved that the projective model structure of the category of topologically enriched diagrams of topological spaces over a topologically enriched locally contractible small category is Quillen equivalent to the standard Quillen model structure of topological spaces. We give a geometric interpretation of this fact in directed homotopy.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- 10.48550/arXiv.1810.04994
- arXiv:
- arXiv:1810.04994
- Bibcode:
- 2018arXiv181004994G
- Keywords:
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- Mathematics - Category Theory;
- Mathematics - Algebraic Topology
- E-Print:
- 22 pages