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- W2061703721 abstract "We develop and apply the concept of category weight which was introduced by Fadell and Husseini. For example, we prove that category weight of every Massey product 〈u1,…,un〉,ui∈H̃∗(X) is at least 2 provided X is connected. Furthermore, we remark that elements of maximal category weight enable us to control the Lusternik–Schnirelmann category of a space. For example, we prove that if f:N→M is a map of degree 1 of closed stable parallelizable manifolds and dimM⩽2catM−4 then catN⩾catM. We also prove that if M is a closed manifold with dimM⩽2catM−3 then cat(M×Sm1×⋯×Smn)=catM+n, i.e., the Ganea conjecture holds for M." @default.
- W2061703721 created "2016-06-24" @default.
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- W2061703721 date "1999-01-01" @default.
- W2061703721 modified "2023-10-13" @default.
- W2061703721 title "ON CATEGORY WEIGHT AND ITS APPLICATIONS" @default.
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- W2061703721 doi "https://doi.org/10.1016/s0040-9383(97)00101-8" @default.
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