On the building dimension of closed cones and Almgren’s stratification principle
نویسنده
چکیده
In this paper we disprove a conjecture stated in [4] on the equality of two notions of dimension for closed cones. Moreover, we answer in the negative to the following question, raised in the same paper. Given a compact family C of closed cones and a set S such that every blow-up of S at every point x ∈ S is contained in some element of C, is it true that the dimension of S is smaller then or equal to the largest dimension of a vector space contained is some element of C?
منابع مشابه
On a conjecture by B. White about the building dimension of closed cones
In this paper we disprove a conjecture stated in [4] on the equality of two notions of dimension for closed cones.
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