Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds

Details Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds

2001-11-15

arxiv.org/abs/math/0111181v1

Mathematics

Algebraic Topology

Latex, 10 pages

Scientific paper

In this paper, we give a new simplified calculation of the
Lusternik-Schnirelmann category of closed 3-manifolds. We also describe when
3-manifolds have detecting elements and prove that 3-manifolds satisfy the
equality of the Ganea conjecture.

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