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Mathematics
Algebraic Topology
On Lusternik-Schnirelmann Category of Connected Sums
Robert Newton
Abstract
In this paper we estimate the Lusternik-Schnirelmann category of the connected sum of two manifolds through their categories. We achieve a more general result regarding the category of a quotient space X/A where A is a suitable subspace of X.
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Submitted on 1 May 2012
Updated
arXiv.org
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