Desuspension

In topology, a field within mathematics, desuspension is an operation inverse to suspension.
Definition.
In general, given an "n"-dimensional space formula_1, the suspension formula_2 has dimension "n" + 1. Thus, the operation of suspension creates a way of moving up in dimension. In the 1950s, to define a way of moving down, mathematicians introduced an inverse operation formula_3, called desuspension. Therefore, given an "n"-dimensional space formula_1, the desuspension formula_5 has dimension "n" – 1.
In general, formula_6.
Reasons.
The reasons to introduce desuspension: