Bimodules and natural transformations for enriched ∞-categories

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Bimodules and natural transformations for enriched ∞-categories. / Haugseng, Rune Gjøringbø.

In: Homology, Homotopy and Applications, Vol. 18, No. 1, 2016, p. 71 – 98.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Haugseng, RG 2016, 'Bimodules and natural transformations for enriched ∞-categories', Homology, Homotopy and Applications, vol. 18, no. 1, pp. 71 – 98. https://doi.org/10.4310/HHA.2016.v18.n1.a5

APA

Haugseng, R. G. (2016). Bimodules and natural transformations for enriched ∞-categories. Homology, Homotopy and Applications, 18(1), 71 – 98. https://doi.org/10.4310/HHA.2016.v18.n1.a5

Vancouver

Haugseng RG. Bimodules and natural transformations for enriched ∞-categories. Homology, Homotopy and Applications. 2016;18(1):71 – 98. https://doi.org/10.4310/HHA.2016.v18.n1.a5

Author

Haugseng, Rune Gjøringbø. / Bimodules and natural transformations for enriched ∞-categories. In: Homology, Homotopy and Applications. 2016 ; Vol. 18, No. 1. pp. 71 – 98.

Bibtex

@article{a06b8c6e9f0d434ab1cc7e5ea39eac15,
title = "Bimodules and natural transformations for enriched ∞-categories",
abstract = "We introduce a notion of bimodule in the setting of enriched ∞-categories, and use this to construct a double ∞-category of enriched ∞-categories where the two kinds of 1-morphisms are functors and bimodules. We then consider a natural definition of natural transformations in this context, and show that in the underlying (∞,2)-category of enriched ∞-categories with functors as 1-morphisms the 2-morphisms are given by natural transformations",
keywords = "math.AT, math.CT",
author = "Haugseng, {Rune Gj{\o}ringb{\o}}",
year = "2016",
doi = "10.4310/HHA.2016.v18.n1.a5",
language = "English",
volume = "18",
pages = "71 – 98",
journal = "Homology, Homotopy and Applications",
issn = "1532-0073",
publisher = "International Press",
number = "1",

}

RIS

TY - JOUR

T1 - Bimodules and natural transformations for enriched ∞-categories

AU - Haugseng, Rune Gjøringbø

PY - 2016

Y1 - 2016

N2 - We introduce a notion of bimodule in the setting of enriched ∞-categories, and use this to construct a double ∞-category of enriched ∞-categories where the two kinds of 1-morphisms are functors and bimodules. We then consider a natural definition of natural transformations in this context, and show that in the underlying (∞,2)-category of enriched ∞-categories with functors as 1-morphisms the 2-morphisms are given by natural transformations

AB - We introduce a notion of bimodule in the setting of enriched ∞-categories, and use this to construct a double ∞-category of enriched ∞-categories where the two kinds of 1-morphisms are functors and bimodules. We then consider a natural definition of natural transformations in this context, and show that in the underlying (∞,2)-category of enriched ∞-categories with functors as 1-morphisms the 2-morphisms are given by natural transformations

KW - math.AT

KW - math.CT

U2 - 10.4310/HHA.2016.v18.n1.a5

DO - 10.4310/HHA.2016.v18.n1.a5

M3 - Journal article

VL - 18

SP - 71

EP - 98

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

IS - 1

ER -

ID: 145773423