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Projective Hausdorff gaps

Archive for Mathematical Logic, 2013
Todorčević (Fund Math 150(1):55–66, 1996) shows that there is no Hausdorff gap (A, B) if A is analytic. In this note we extend the result by showing that the assertion “there is no Hausdorff gap (A, B) if A is coanalytic” is equivalent to “there is no Hausdorff gap (A, B) if A is Σ12 ”, and equivalent to ∀r (ℵ1L[r] < ℵ1) .
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The Hausdorff Dimension of Sections*

Chinese Annals of Mathematics, Series B, 2007
Taking an iterated function system of contractive similitudes on \(\mathbb{R}^n\) with the same contraction factor and the resultant compact attracting set \(E\) the author considers questions of Hausdorff dimension of sections where a ``section'' is defined as the intersection of \(E\) with a \((n-1)\)-dimensional hyperplane \(L\).
Niu, Min, Xi, Lifeng
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Local Hausdorff dimension

Acta Informatica, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmut Jürgensen, Ludwig Staiger
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Hausdorff Compactifications as Epireflections

Canadian Mathematical Bulletin, 1975
AbstractWe answer the following problem posed by Herrlich in the affirmative: “Can the Freudenthal compactification be regarded as a reflection in a sensible way?” This is accomplished by exploiting the one-to-one correspondence between proximities compatible with a given Tihonov space and compactifications of that space.
Hunsaker, W. N., Naimpally, S. A.
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On the Centred Hausdorff Measure

Journal of the London Mathematical Society, 2000
Summary: Let \(\nu\) be a measure on a separable metric space. For \(t,q\in\mathbb{R}\), the centred Hausdorff measure \(\mu^h\) with the gauge function \(h(x,r)= r^t(\nu B(x,r))^q\) is studied. The dimension defined by these measures plays an important role in the study of multifractals. It is shown that if \(\nu\) is a doubling measure, then \(\mu^h\)
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HAUSDORFF SEPARATION THEOREMS

Mathematics of the USSR-Izvestiya, 1978
Criteria are established for Hausdorff separation of the homology and cohomology spaces with compact support of coherent analytic sheaves on complex spaces.Bibliography: 11 titles.
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Between Shapes, Using the Hausdorff Distance

Computational Geometry: Theory and Applications, 2022
Jordi L Vermeulen   +2 more
exaly  

Hausdorff Groupoids

The Annals of Mathematics, 1934
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