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The edgewise subdivision criterion for $ 2$-Segal objects


Authors: Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova, Martina Rovelli and Claudia I. Scheimbauer
Journal: Proc. Amer. Math. Soc. 148 (2020), 71-82
MSC (2010): Primary 18D35, 18G30, 19D10, 55U10
DOI: https://doi.org/10.1090/proc/14679
Published electronically: July 9, 2019
MathSciNet review: 4042831
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Abstract: We show that the edgewise subdivision of a $ 2$-Segal object is always a Segal object, and furthermore that this property characterizes $ 2$-Segal objects.


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Additional Information

Julia E. Bergner
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
Email: jeb2md@virginia.edu

Angélica M. Osorno
Affiliation: Department of Mathematics, Reed College, Portland, Oregon 97202
Email: aosorno@reed.edu

Viktoriya Ozornova
Affiliation: Fakultät für Mathematik, Ruhr-Universität Bochum, D-44780 Bochum, Germany
Email: viktoriya.ozornova@rub.de

Martina Rovelli
Affiliation: Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
Email: mrovelli@math.jhu.edu

Claudia I. Scheimbauer
Affiliation: Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
Address at time of publication: Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway
Email: claudia.scheimbauer@ntnu.no

DOI: https://doi.org/10.1090/proc/14679
Received by editor(s): July 20, 2018
Received by editor(s) in revised form: April 16, 2019
Published electronically: July 9, 2019
Additional Notes: The first-named author was partially supported by NSF CAREER award DMS-1659931. The second-named author was partially supported by a grant from the Simons Foundation (#359449) and NSF grant DMS-1709302. The fourth-named author and fifth-named author were partially funded by the Swiss National Science Foundation, grants P2ELP2_172086 and P300P2_164652, respectively.
Communicated by: Mark Behrens
Article copyright: © Copyright 2019 American Mathematical Society