Download this article
 Download this article For screen
For printing
Recent Issues

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Manifolds with small topological complexity

Petar Pavešić

Algebraic & Geometric Topology 24 (2024) 1713–1723
Abstract

We study closed orientable manifolds whose topological complexity is at most 3 and determine their cohomology rings. For some of the admissible cohomology rings we are also able to identify corresponding manifolds up to a homeomorphism.

Keywords
topological complexity, Lusternik–Schnirelmann category, closed manifold, zero-divisor cup length
Mathematical Subject Classification
Primary: 55M30
Secondary: 57N65
References
Publication
Received: 20 July 2022
Revised: 24 November 2022
Accepted: 13 January 2023
Published: 28 June 2024
Authors
Petar Pavešić
Faculty of Mathematics and Physics
University of Ljubljana
Ljubljana
Slovenia

Open Access made possible by participating institutions via Subscribe to Open.