Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Cobordism classes of manifolds with category four

Author: Harpreet Singh
Journal: Trans. Amer. Math. Soc. 310 (1988), 619-628
MSC: Primary 57R75; Secondary 55M30
MathSciNet review: 973172
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Abstract: The Lusternik-Schnirelmann category of a manifold $ M$ is the smallest integer $ k$ such that $ M$ can be covered by $ k$ open sets each of which is contractible in $ M$. The classification up to cobordism of manifolds with category $ 3$ was completed by the author in 1985. The object of this paper is to attempt a similar classification of manifolds with category $ 4$.

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Keywords: Cobordism, Lusternik-Schnirelmann category
Article copyright: © Copyright 1988 American Mathematical Society