Attaching maps in a product of CW-complexes

[mrbohn1]

Could someone please explain to me how to find the differential operators in a product of CW complexes, if the individual differential operators are known?

For example, I know that RP²x S² has 1 0-cell, 1 1-cell, 1 2- cells and 1 4-cell, and I know how the cells of RP² and S² are attached, but I don't know how the cells of RP² x S² are attached.

I'd be happy with a link to somewhere that explains this, I haven't been able to find a source. Thanks.

 

[quasar987]

See theorem A.6 in the appendix to Hatcher's book: http://www.math.cornell.edu/~hatcher/AT/ATapp.pdf

 

[mrbohn1]

Thanks...I should have known it would be somewhere in Hatcher.