🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

Which Circle Bundles Can Be Triangulated Over ∂Δ3?


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

We prove that having the boundary of the standard three-dimensional simplex ∂Δ3 as the base of a triangulation, one can triangulate only trivial and Hopf circle bundles.

About the authors

N. E. Mnëv

St. Petersburg Department of Steklov Institute of Mathematics and Chebyshev Laboratory of St. Petersburg State University

Author for correspondence.
Email: mnev@pdmi.ras.ru
Russian Federation, St. Petersburg

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature