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Homology equivalences and a technique of Ganea

✍ Scribed by Graham Hilton Toomer

Publisher
Springer-Verlag
Year
1976
Tongue
French
Weight
376 KB
Volume
150
Category
Article
ISSN
0025-5874

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We introduce a sequence of numerical homotopy invariants Οƒ i cat, i ∈ N, which are lower bounds for the Lusternik-Schnirelmann category of a topological space X. We characterize, with dimension restrictions, the behaviour of Οƒ i cat with respect to a cell attachment by means of a Hopf invariant. Fur