How can I show that a suspension of a CW complex is a CW complex? I tried to start with showing first that a product of CW complexes is a CW complex but I didn't know how to construct the attaching maps.
2026-03-28 16:20:43.1774714843
Suspension of a CW complex is a CW complex
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Hint: The product of two CW complexes can (often) be made into a CW complex. Same for the quotient of one.
Apparently the result does not always hold. See @Tyrone's comment below.
Correction to the correction: according to @SteveD it is true.