Uncountably Many Mutually Disjoint, Dense and Convex Subsets of $\ell^2$ with Applications to Path Connected Subsets of Spheres
نویسندگان
چکیده
منابع مشابه
Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces
and Applied Analysis 3 Definition 2.4. M is called c-porous if for any x ∈ X and every r > 0, there are y ∈ B x, r and φ ∈ X∗ \ {0} such that { z ∈ X : φ z > φy ∩M ∅. 2.2 C-porosity turns out to be the suitable notion to describe the smallness of convex nowhere dense sets see Proposition 2.5 and is a stronger form of 0-angle porosity x ∈ X instead x ∈ M . Indeed, consider the unit sphere S of a...
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ژورنال
عنوان ژورنال: Missouri Journal of Mathematical Sciences
سال: 2009
ISSN: 0899-6180
DOI: 10.35834/mjms/1316024882