Twisted arrow construction for Segal spaces

Chirantan Mukherjee and Nima Rasekh – GJM, Volume 11, Issue 1 (2026), 53-66.

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août 4, 2026
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We give an explicit description of the twisted arrow construction for simplicial spaces and demonstrate individually that it preserves the defining properties of a complete Segal space. Moreover, we show that for a Segal space, the natural projection from the twisted arrow Segal space is a left fibration.

Categories: 2026, Issue1

Milestones:

Received: December 16, 2024
Accepted: January 13, 2025
Accepted: January 27, 2026
Published: July 30, 2026

Authors:

Chirantan Mukherjee
Ontario Research Centre for Computer Algebra,
University of Western Ontario, London, Ontario, Canada.

Nima Rasekh
Institut für Mathematik und Informatik, Universität Greifswald,
Greifswald, Germany.

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