V -CAT IS LOCALLY PRESENTABLE OR LOCALLY BOUNDED IF V IS SO

By G. M. Kelly, Stephen Lack. 2001

75 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ea561d1ae82bbf6752659cd2c044e18440208c13

How researchers see this paper

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

1. Brian Day
2. Fernando Muro
3. Stephen Lack
4. Aaron D. Lauda
5. Ross Street
6. Michael Shulman
7. Richard Garner
8. Mark Weber

Citations in the corpus

• A Quillen model structure for Gray-categories (2002, background): “The category 2-Cat is locally finitely presentable, thus so by [11] is Gray-Cat.”
• On the homotopy theory of enriched categories (2012, unknown): “lness of the domains of the generating (trivial)cofibrationsin Vimplies that the aforementionedclassesofgenerating(trivial) cofibrations in V−Cat have sequentially small domains as well, cf. Kelly-Lack [10]. Quillen’s small object argument then yields the existence of cofibration/trivial fibration facto”
• Dwyer–Kan homotopy theory of enriched categories (2012, background): “The category Cat(V ) is locally presentable by [17].”
• Limits of small functors (2006, background): “By [13], after possibly changing α, we may suppose that (V0)α is closed in V0 under the monoidal structure, so that V is locally α-presentable as a closed category, in the sense of [10].”