Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659763 | Topology and its Applications | 2012 | 7 Pages |
Abstract
A closed topological n-manifold Mn is of S2 (resp. P2)-category 2 if it can be covered by two open subsets W1, W2 such that the inclusions Wi→Mn factor homotopically through maps Wi→S2 (resp. P2). We characterize all closed n-manifolds of S2-category 2 and the fundamental groups of all closed n-manifolds of P2-category 2.
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Mathematics
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