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- W3104366931 abstract "In ~cite{Iw2} Iwase has constructed two 16-dimensional manifolds $M_2$ and $M_3$ with LS-category 3 which are counter-examples to Ganea's conjecture: ${rm cat_{LS}} (Mtimes S^n)={rm cat_{LS}} M+1$. We show that the manifold $M_3$ is a counter-example to the logarithmic law for the LS-category of the square of a manifold: ${rm cat_{LS}}(Mtimes M)=2{rm cat_{LS}} M$. Also, we construct a map of degree one $$f:Nto M_2times M_3$$ which reduces Rudyak's conjecture to the question whether ${rm cat_{LS}}(M_2times M_3)ge 5$. We show that ${rm cat_{LS}}(M_2times M_3)ge 4$." @default.
- W3104366931 created "2020-11-23" @default.
- W3104366931 creator A5084737845 @default.
- W3104366931 date "2020-11-09" @default.
- W3104366931 modified "2023-09-27" @default.
- W3104366931 title "On Iwase's manifolds" @default.
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