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- W2051235723 abstract "Let F ι ↪ E f ↠ B be a fibration, we focus on the relation between the homotopy invariants cat E , cat F and cat B . The general formula due to Hardie says that cat E⩽(cat ι+1)·(cat f+1)−1 ; if the fibration is trivial, this upper bound can be replaced by cat F+cat B . In this paper, we introduce a notion of k -triviality and construct upper bound for cat E in terms of k , cat ι and cat f ." @default.
- W2051235723 created "2016-06-24" @default.
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- W2051235723 date "2001-01-01" @default.
- W2051235723 modified "2023-09-24" @default.
- W2051235723 title "L.S. category of the total space in a fibration and k-monomorphisms" @default.
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- W2051235723 doi "https://doi.org/10.1016/s0166-8641(99)00155-8" @default.
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