Manifolds of piecewise linear maps and a related normed linear space
نویسندگان
چکیده
منابع مشابه
Manifolds of Piecewise Linear Maps and a Related Normed Linear Space
1. Spaces of piecewise linear maps. Let X and Y be separable polyhedra, X compact and Y locally compact; for the moment let them be connected and of dimension > 0 . Denoting the separable hilbert space of square-summable sequences by h, a space is an kmanifold if separable, metrizable and locally homeomorphic to k. In [4] the author showed that the space C(X, Y) of all continuous maps from X to...
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In this thesis we introduce a ∆-set Ψ d (R )• which we regard as the piecewise linear analogue of the space Ψd(R ) of smooth d-dimensional submanifolds in R introduced by Galatius in [4]. Using Ψ d (R )• we define a bi-∆-set Cd(R )•,• whose geometric realization BC d (R ) = ∥∥Cd(RN )•,•∥∥ should be interpreted as the PL version of the classifying space of the category of smooth d-dimensional co...
متن کاملSpaces of Piecewise Linear Manifolds
In this thesis we introduce a ∆-set Ψ d (R )• which we regard as the piecewise linear analogue of the space Ψd(R ) of smooth d-dimensional submanifolds in R introduced by Galatius in [4]. Using Ψ d (R )• we define a bi-∆-set Cd(R )•,• whose geometric realization BC d (R ) = ∥∥Cd(RN )•,•∥∥ should be interpreted as the PL version of the classifying space of the category of smooth d-dimensional co...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1971
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1971-12782-9