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CONTRACTION. An abbreviation; a mode of writing or printing by which some of the letters of a word are omitted. See Abbreviations.

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This shorter syntax provides for some economy in considering the forms of kind expressions in types, while the contractiveness and discriminativity restrictions ensure that any kind expression can be manipulated to have this restricted form.
alpha]](t) = W([alpha], p, t) and so the class of subsets of X with the property of contractiveness and joint continuity contains the class of starshaped sets which in turn contains the class of convex sets.