Cellular structures and stunted weighted projective space

Cellular chain complex of P(χ) Bibliography 133Word count 46736 we let (e m J,τ ) * = p(e m J,τ ).It follows from Proposition 2.6.6 that (e m J,τ ) * is a (k + ℓ)-cell of a CW-structure on L(m, l 1 , . . ., l n ).Let C m (e m J,τ ) denote the orbit of the cell e m J,τ of S 2n-1 .Then e m J,τ ∈ C m (e m J,τ ), therefore p(e m J,τ ) = (e m J,τ ) * .We see that either p • F m J,τ or p • F m J,τ could be used as a characteristic map for the CW-structure on L(m, l 1 , . . ., l n ).Therefore describing the CW-structure on L(m, l 1 , . . ., l n ) explicitly requires choosing a representative cell in S 2n-1 of each orbit.Such considerations will be the subject of Chapter 4.