Small Designs for Path Connected Spaces and Path Connected Homogeneous Spaces
نویسنده
چکیده
We prove the existence of designs of small size in a number of contexts. In particular our techniques can be applied to prove the existence of ndesigns on S of size Od(n d log(n)d−1).
منابع مشابه
On 5-dimensional 2-step homogeneous randers nilmanifolds of Douglas type
In this paper we first obtain the non-Riemannian Randers metrics of Douglas type on two-step homogeneous nilmanifolds of dimension five. Then we explicitly give the flag curvature formulae and the $S$-curvature formulae for the Randers metrics of Douglas type on these spaces. Moreover, we prove that the only simply connected five-dimensional two-step homogeneous Randers nilmanifolds of D...
متن کاملUrban neighborhood regeneration; Interpretive structural modeling of the factors affecting connected public spaces
Urban planning has emphasized quicker, lighter, and cheaper methods in recent years. According to urban studies, urban public spaces are valuable factors for urban neighborhood regeneration. Although, the concept of the network (connectivity in public spaces) is not new, and various authors and researchers had applied and adapted it to different areas of urban planning, it would be a new approa...
متن کاملPath-lifting for Grothendieck Toposes
A general path-lifting theorem, which fails in the context of topological spaces, is shown to hold for toposes, for locales (a slight generalization of topological spaces), and hence for complete separable metric spaces. This result generalizes the known fact that any connected locally connected topos (respectively complete separable metric space) is path-connected. In [MW] we proved that every...
متن کاملAltered Stats : Two anyons via path integrals for multiply connected spaces
We apply the formalism of path integrals in multiply connected spaces to the problem of two anyons.
متن کاملUniform connectedness and uniform local connectedness for lattice-valued uniform convergence spaces
We apply Preuss' concept of $mbbe$-connectedness to the categories of lattice-valued uniform convergence spaces and of lattice-valued uniform spaces. A space is uniformly $mbbe$-connected if the only uniformly continuous mappings from the space to a space in the class $mbbe$ are the constant mappings. We develop the basic theory for $mbbe$-connected sets, including the product theorem. Furtherm...
متن کامل