The rational LS category of products and of Poincare duality complexes
(1998) Topology — Vol. 37, n° 4, p. 749-756 (1998)
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- Abstract
- We give a new characterisation of rational LS category, cat(o)(X), from which two theorems follow. Theorem 1: cat(o)(X + Y) = cat(o)(X) + cat(o)(Y). Theorem 3: If X is a Poincare: duality complex, then cat(o)(X) = e(o)(X), where e(o) is Toomer's invariant. (C) 1998 Elsevier Science Ltd. All rights reserved.
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Félix, Y., Halperin, S., & Lemaire, JM. (1998). The rational LS category of products and of Poincare duality complexes. Topology, 37(4), 749-756. https://doi.org/10.1016/S0040-9383(97)00061-X (Original work published 1998)