In topology, a field within mathematics, desuspension is an operation inverse to suspension. [1]
In general, given an n-dimensional space , the suspension 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 , called desuspension. [2] Therefore, given an n-dimensional space , the desuspension has dimension n – 1.
In general, .
The reasons to introduce desuspension:
In mathematics and computer science, currying is the technique of translating the evaluation of a function that takes multiple arguments into evaluating a sequence of functions, each with a single argument. For example, currying a function that takes three arguments creates a nested unary function , so that the code
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,
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This is a glossary of properties and concepts in algebraic topology in mathematics.
