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Hausdorff metric, the construction of a Hausdorff quotient space, and boundaries of symmetric spaces
Functional Analysis and Its Applications, 1997As is known, in many interesting cases, the quotient space of a metric space (topological space, algebraic variety) turns out to be non-Hausdorff. In algebraic geometry, a number of methods are known for constructing a Hausdorff quotient space from a non-Hausdorff one (the closure in the Chow scheme, blow-up of singularities, and the spectrum of an ...
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Spaces of largest Hausdorff dimension
Mathematika, 1981A metric space ( X , ρ ) is called precompact, if, for every e > 0, there is a finite e-cover (a covering by sets of diameter ≤ e). The space ( X , ρ ) is separable if for every e there is a countable e-cover. There should be some in-between condition. We say that ( X , ρ) has fine covers, if, for every e > 0, there exists a countable e-cover ( U 1 ,
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Essential extensions of Hausdorff spaces
Applied Categorical Structures, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2023Hans-Curt Flemming +2 more
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A Homotopy 2-Groupoid of a Hausdorff Space
Applied Categorical Structures, 2000K. A. Hardie, K. Kamps, R. Kieboom
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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On the cardinality of Hausdorff spaces
1998Three new cardinal inequalities for Hausdorff spaces are found. They generalize some well-known estimates.
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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A COMPACT HAUSDORFF SPACE ALL OF WHOSE INFINITE CLOSED SUBSETS ARE $ n$-DIMENSIONAL
, 1975V. V. Fedorčuk
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Topological finiteness theorems for manifolds in Gromov-Hausdorff space
, 1994S. Ferry
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