Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds
John Oprea, Yuli Rudyak
math.ATarXiv:math/0111181
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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