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Manifolds with small
topological complexity
Petar Pavešić |
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Algebraic & Geometric Topology 24 (2024) 1713–1723
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Abstract |
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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
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Mathematical Subject Classification
Primary: 55M30
Secondary: 57N65
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References |
Publication
Received: 20 July 2022
Revised: 24 November 2022
Accepted: 13 January 2023
Published: 28 June 2024
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Authors |
| Petar Pavešić | |
| Faculty of Mathematics and
Physics University of Ljubljana Ljubljana Slovenia |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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