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Название: Higer simple homolopy theory
Автор: Hatcher A.E.
In this paper we globalize J. H. C. Whitehead's simple homotopy theory  by constructing a homotopy functor Wh from polyhedra to simplicial H-spaces, such that Whitehead's theory amounts to the calculation of
pi Wh(K), the arc-components of Wh (K). "Higher simple homotopy theory" is then concerned with the full homotopy type of Wh(K), for example, its higher homotopy groups.