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

John Oprea·Yuli Rudyak
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Abstract

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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John Oprea, Yuli Rudyak. 2001-11-15. Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds. https://arxiv.org/abs/math/0111181

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