Dwyer–Kan homotopy theory of enriched categories

By Fernando Muro. 2012

55 citations recorded by the source corpus.

We construct a model structure on the category of small categories enriched over a combinatorial closed symmetric monoidal model category satisfying the monoid axiom. Weak equivalences are Dwyer–Kan equivalences, that is, enriched functors which induce weak equivalences on morphism objects and equivalences of ordinary categories when we take sets of connected components on morphism objects.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a81e0beb1c50ecb668f49310bee5968ed2950f0d

How researchers see this paper

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

In Algebra and Number Theory

1. Pavle V. M. Blagojević
2. Günter M. Ziegler

In Geometry and Topology

1. Pavle V. M. Blagojević
2. Günter M. Ziegler

In Mathematical Physics

1. Pavle V. M. Blagojević
2. Günter M. Ziegler
3. Fernando Muro
4. Jirí Matousek

Citations in the corpus

• Convex equipartitions via Equivariant Obstruction Theory (2012, methodology): “For further application of this fact in the context of k-regular mappings of Euclidean spaces consult [13].”
• Beyond the Borsuk–Ulam Theorem: The Topological Tverberg Story (2016, background): “[14] [20] Let G be a finite group and let H ⊆ G be its subgroup.”