Manifolds with small topological complexity
Algebraic and Geometric Topology, Tome 24 (2024) no. 3, pp. 1713-1723

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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.

DOI : 10.2140/agt.2024.24.1713
Keywords: topological complexity, Lusternik–Schnirelmann category, closed manifold, zero-divisor cup length

Pavešić, Petar 1

1 Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
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Pavešić, Petar. Manifolds with small topological complexity. Algebraic and Geometric Topology, Tome 24 (2024) no. 3, pp. 1713-1723. doi: 10.2140/agt.2024.24.1713

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