# Tagged Questions

Hausdorff dimension, box dimension, packing dimension and similar concepts.

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### Possible Hausdorff dimension of intersection of Besicovitch-Eggleston like sets

Let $b \geq 2$ be an integer and suppose that $v=(p_0,\cdots,p_{b-1})$ be a probability vector. Let $S_{b,v}$ be the set of real numbers whose $b$-ary expansion has the digit $k$ with relative ...
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### dimension of induced comodule

Let $\pi : G \to H$ be epimorphism of Hopf superalgebras, where $G$ be an quantum super group of function on $GL(m|n)$, $H$ be an quantum group of function on $GL(m) \otimes GL(n)$; $W$ an finite ...
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This question (in a bit different form) I leaned from Olena Karlova. Question. Let $f:X\to Y$ be a bijective continuous map between metrizable separable spaces such that for every open set $U\subset ... 0answers 151 views ### Is there a better function (linear or even a projection)? Let$A$be a finite$n$-element set. Let$\mathbb R^A$be an$n$-dimensional Euclidean space (with the ordinary Euclidean distance). Let$X$be an arbitrary topological space. Consider a continuous ... 0answers 176 views ### Finite topological dimension x local compactness Of course, the two notions are independent one from the other, but often one of them implies the other under some additional hypotheses. For instance: A topological vector space is finite dimensional ... 0answers 225 views ### Global dimension of a subalgebra with all units (All rings here are always assumed to be unital and associative). Setup Let$R$be a ring, and$A$and$B$be$R$-algebras, with$A$a commutative subalgebra of$B$satisfying: If$u$is a unit ... 0answers 107 views ### When does the rank of a module behave sub-multiplicatively under tensoring? Let$\cal{E}$be a finitely generated projective bimodule over a (noncommutative) algebra$A$. Moreover, let us assume that$\cal{E}$is of finite rank$n$. The tensor product$ \cal{E} \otimes_A \...
Assume we can decompose a set $A$ in $\mathbb{R^n}$ of Hausdorff-dimension n into sets $(A_t)$ $t\in [0,1]$ of Hausdorff-dimension n-1 whose n-1-dimensional volume is known (for example is zero). ...
We're referencing Yakov Pesin's "Dimension Theory in Dynamical Systems" in an effort to compute the Hausdorff dimension of a particular invariant set $\Lambda$ of a hyperbolic toral automorphism. ...