Manifolds with small topological complexity

Pavešić, Petar (author)

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.

• Language: English
• Keywords: topological complexity, Lusternik–Schnirelmann category, closed manifold, zero-divisor cup length
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.01.2024
• Year: 2024
• Number of pages: Str. 1713-1723
• Numbering: Vol. 24, iss. 3
• PID: 20.500.12556/RUL-160931-ae335d41-4335-73cf-546f-6d0eaf5f3dc4
• UDC: 515.1
• ISSN on article: 1472-2747
• DOI: 10.2140/agt.2024.24.1713
• COBISS.SI-ID: 206513667
• Publication date in RUL: 05.09.2024

PAVEŠIĆ, Petar, 2024, Manifolds with small topological complexity. Algebraic and geometric topology [online]. 2024. Vol. 24, no. 3, p. 1713–1723. [Accessed 7 April 2025]. DOI 10.2140/agt.2024.24.1713. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=160931

Record is a part of a journal

• Title: Algebraic and geometric topology
• Publisher: Geometry & Topology Publications
• ISSN: 1472-2747
• COBISS.SI-ID: 16766553

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0292
• Name: Topologija in njena uporaba

• Funder: ARRS - Slovenian Research Agency
• Project number: J1-4031
• Name: Računalniška knjižnica za zavozlane strukture in aplikacije