Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans

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

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Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans. / Steinebrunner, Jan Paul.

In: Journal of the London Mathematical Society, Vol. 106, No. 2, 30.04.2022, p. 1291-1318.

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

Harvard

Steinebrunner, JP 2022, 'Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans', Journal of the London Mathematical Society, vol. 106, no. 2, pp. 1291-1318. https://doi.org/10.1112/jlms.12599

APA

Steinebrunner, J. P. (2022). Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans. Journal of the London Mathematical Society, 106(2), 1291-1318. https://doi.org/10.1112/jlms.12599

Vancouver

Steinebrunner JP. Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans. Journal of the London Mathematical Society. 2022 Apr 30;106(2):1291-1318. https://doi.org/10.1112/jlms.12599

Author

Steinebrunner, Jan Paul. / Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans. In: Journal of the London Mathematical Society. 2022 ; Vol. 106, No. 2. pp. 1291-1318.

Bibtex

@article{6bfc7139c3a548dbbc95d23872b10836,
title = "Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans",
abstract = "We show that the conditions in Steimle's 'additivity theorem for cobordism categories' can be weakened to only require \emph{locally} (co)Cartesian fibrations, making it applicable to a larger class of functors. As an application we compute the difference in classifying spaces between the infinity category of cospans of finite sets and its homotopy category.",
author = "Steinebrunner, {Jan Paul}",
year = "2022",
month = apr,
day = "30",
doi = "10.1112/jlms.12599",
language = "English",
volume = "106",
pages = "1291--1318",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "2",

}

RIS

TY - JOUR

T1 - Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans

AU - Steinebrunner, Jan Paul

PY - 2022/4/30

Y1 - 2022/4/30

N2 - We show that the conditions in Steimle's 'additivity theorem for cobordism categories' can be weakened to only require \emph{locally} (co)Cartesian fibrations, making it applicable to a larger class of functors. As an application we compute the difference in classifying spaces between the infinity category of cospans of finite sets and its homotopy category.

AB - We show that the conditions in Steimle's 'additivity theorem for cobordism categories' can be weakened to only require \emph{locally} (co)Cartesian fibrations, making it applicable to a larger class of functors. As an application we compute the difference in classifying spaces between the infinity category of cospans of finite sets and its homotopy category.

U2 - 10.1112/jlms.12599

DO - 10.1112/jlms.12599

M3 - Journal article

VL - 106

SP - 1291

EP - 1318

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 2

ER -

ID: 323111471