X-Sun-Data-Type: default X-Sun-Data-Description: default X-Sun-Data-Name: grodr.tex Sun-Charset: us-ascii X-Sun-Content-Lines: 766 ON LARGE SCALE PROPERTIES OF MANIFOLDS
نویسندگان
چکیده
We show that a space with a finite asymptotic dimension is embeddable in a non-positively curved manifold. Then we prove that if a uniformly contractible manifold X is uniformly embeddable in Rn or non-positively curved n-dimensional simply connected manifold then X × Rn is integrally hyperspherical. If a uniformly contractible manifold X of bounded geometry is uniformly embeddable into a Hilbert space, then X is stably integrally hyperspherical.
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