Homotopy limits for 2-categories

Nicola Gambino; Nicola Gambino

Homotopy limits for 2-categories

Nicola Gambino, Nicola Gambino

Matematica e Informatica

Risultato della ricerca: Article › peer review

8 Citazioni (Scopus)

Abstract

We study homotopy limits for 2-categories using the theory of Quillen model categories. In order to do so, we establish the existence of projective and injective model structures on diagram 2-categories. Using these results, we describe the homotopical behaviour not only of conical limits but also of weighted limits. Finally, pseudo-limits are related to homotopy limits.

Lingua originale	English
pagine (da-a)	43-63
Numero di pagine	20
Rivista	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	2008
Stato di pubblicazione	Published - 2008

All Science Journal Classification (ASJC) codes

???subjectarea.asjc.2600.2600???

Altri file e collegamenti

OA Link

Fingerprint Entra nei temi di ricerca di 'Homotopy limits for 2-categories'. Insieme formano una fingerprint unica.

Cita questo

@article{afd9df5ad63b421da4cbfe9d0e36b620,

title = "Homotopy limits for 2-categories",

abstract = "We study homotopy limits for 2-categories using the theory of Quillen model categories. In order to do so, we establish the existence of projective and injective model structures on diagram 2-categories. Using these results, we describe the homotopical behaviour not only of conical limits but also of weighted limits. Finally, pseudo-limits are related to homotopy limits.",

keywords = "2-categories, coherence conditions, homotopy limits, 2-categories, coherence conditions, homotopy limits",

author = "Nicola Gambino and Nicola Gambino",

year = "2008",

language = "English",

volume = "2008",

pages = "43--63",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "0305-0041",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Homotopy limits for 2-categories

AU - Gambino, Nicola

PY - 2008

Y1 - 2008

N2 - We study homotopy limits for 2-categories using the theory of Quillen model categories. In order to do so, we establish the existence of projective and injective model structures on diagram 2-categories. Using these results, we describe the homotopical behaviour not only of conical limits but also of weighted limits. Finally, pseudo-limits are related to homotopy limits.

AB - We study homotopy limits for 2-categories using the theory of Quillen model categories. In order to do so, we establish the existence of projective and injective model structures on diagram 2-categories. Using these results, we describe the homotopical behaviour not only of conical limits but also of weighted limits. Finally, pseudo-limits are related to homotopy limits.

KW - 2-categories

KW - coherence conditions

KW - homotopy limits

KW - 2-categories

KW - coherence conditions

KW - homotopy limits

UR - http://hdl.handle.net/10447/40048

M3 - Article

VL - 2008

SP - 43

EP - 63

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

ER -