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- W2165317628 abstract "The suspension of the total cofibre (Y ) of a diagram Y of infinite CW complexes, indexed by the face lattice of a polytope, is in general not homotopy equivalent to a finite CW complex. However, if Y satisfies additional conditions (making it into a locally finite non-linear sheaf on a projective toric variety) we can show that (Y ) is a homotopy finite space. The main tools used in the proof are a Bousfield–Kan spectral sequence for total cofibres, and a modification of the Cech construction to calculate sheaf cohomology groups. Mathematics Subject Classifications (2000): Primary 55P99, Secondary 55N30." @default.
- W2165317628 created "2016-06-24" @default.
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- W2165317628 date "2004-02-01" @default.
- W2165317628 modified "2023-09-27" @default.
- W2165317628 title "Finiteness of Total Cofibres" @default.
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- W2165317628 doi "https://doi.org/10.1023/b:kthe.0000022924.43719.5d" @default.
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