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- W2013376296 abstract "The notion of linear-homotopy into a classifying space is introduced and used to give a precise classification of Haefliger structures. Appendix on the product theorem for simplicial spaces and realizations of bisimplicial spaces. Introduction. A concrete model for a classifying space is usually defined as the realization of a simplicial space. It is obtained by glueing continuous families of standard geometric simplexes, and thus, we have a nice coherent notion of simplex lying in it. This extra linear structure helps in trying to understand a classifying space geometrically and not only up to homotopy type. Thinking of points moving ('/»/-ishly') along these simplexes, we get the notion of linear- homotopy, which, applied to Segal's model for the classifying space of a groupoid ((S) or (1.3)), gives a finer classification than Haefhger's classical one." @default.
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- W2013376296 date "1984-02-01" @default.
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- W2013376296 title "Haefliger structures and linear homotopy" @default.
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