Algebraic Topology · Problem 4I.3

Homotopy Theory — Allen Hatcher

Mathematics — Topology · stable-splittings-of-spaces

Problem

Extending Proposition 4I.3, show that the (2k+1)(2k+1)-skeleton of the suspension of a high-dimensional lens space with fundamental group of order pnp^n is homotopy equivalent to the wedge sum of the (2k+1)(2k+1)-skeleta of the spaces XiX_i, if these XiX_i's are chosen to have the minimum number of cells in each dimension, as described in the remarks following the proof.

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