Collectionwise Hausdorff property in product spaces
T. Przymusiński (1976)
Colloquium Mathematicae
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Displaying similar documents to “Perturbations of isometries between C(K)-spaces”
Collectionwise Hausdorff property in product spaces
Hausdorff spaces and the closed intersection property
D. W. Hajek (1982)
Matematički Vesnik
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Hausdorff gaps and towers in 𝓟(ω)/Fin
Piotr Borodulin-Nadzieja, David Chodounský (2015)
Fundamenta Mathematicae
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We define and study two classes of uncountable ⊆*-chains: Hausdorff towers and Suslin towers. We discuss their existence in various models of set theory. Some of the results and methods are used to provide examples of indestructible gaps not equivalent to a Hausdorff gap. We also indicate possible ways of developing a structure theory for towers based on classification of their Tukey types.
On some properties of Hausdorff content related to instability.
Mattila, Pertti, Orobitg, Joan (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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On the Hausdorff dimension of ultrametric subsets in ℝⁿ
James R. Lee, Manor Mendel, Mohammad Moharrami (2012)
Fundamenta Mathematicae
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For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).
On κ-Lindelöf spaces
Alejandro Ramírez-Páramo (2010)
Colloquium Mathematicae
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We use the Hausdorff pseudocharacter to bound the cardinality and the Lindelöf degree of κ-Lindelöf Hausdorff spaces.
A further discussion of the Hausdorff dimension in Engel expansions
Lu-ming Shen (2010)
Acta Arithmetica
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Non-subharmonicity of the Hausdorff distance
Edoardo Vesentini (1983)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Si dimostra con esempi che la distanza di Hausdorff-Carathéodory fra i valori di funzioni multivoche, analitiche secondo Oka, non è subarmonica.
Sequences of disjoint open sets
S. Mrówka, H. P. Tan (1972)
Czechoslovak Mathematical Journal
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Non-subharmonicity of the Hausdorff distance
Edoardo Vesentini (1983)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Si dimostra con esempi che la distanza di Hausdorff-Carathéodory fra i valori di funzioni multivoche, analitiche secondo Oka, non è subarmonica.
On the Hausdorff dimension of the expressible set of certain sequences
Jaroslav Hančl, Radhakrishnan Nair, Lukáš Novotný, Jan Šustek (2012)
Acta Arithmetica
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On the Hausdorff dimension of a family of self-similar sets with complicated overlaps
Balázs Bárány (2009)
Fundamenta Mathematicae
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We investigate the properties of the Hausdorff dimension of the attractor of the iterated function system (IFS) {γx,λx,λx+1}. Since two maps have the same fixed point, there are very complicated overlaps, and it is not possible to directly apply known techniques. We give a formula for the Hausdorff dimension of the attractor for Lebesgue almost all parameters (γ,λ), γ < λ. This result only holds for almost all parameters: we find a dense set of parameters (γ,λ) for which the Hausdorff...
The compactness number of a compact topological space I
Murray Bell, Jan van Mill (1980)
Fundamenta Mathematicae
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On Nikodym-type sets in high dimensions
Themis Mitsis (2004)
Studia Mathematica
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We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.
Hausdorff dimensions in Engel expansions
Yan-Yan Liu, Jun Wu (2001)
Acta Arithmetica
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Compact Hausdorff spaces with two open sets
J. Mioduszewski (1978)
Colloquium Mathematicae
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On the cardinality of n-Urysohn and n-Hausdorff spaces
Maddalena Bonanzinga, Maria Cuzzupé, Bruno Pansera (2014)
Open Mathematics
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Two variations of Arhangelskii’s inequality for Hausdorff X [Arhangel’skii A.V., The power of bicompacta with first axiom of countability, Dokl. Akad. Nauk SSSR, 1969, 187, 967–970 (in Russian)] given in [Stavrova D.N., Separation pseudocharacter and the cardinality of topological spaces, Topology Proc., 2000, 25(Summer), 333–343] are extended to the classes with finite Urysohn number or finite Hausdorff number.
On the dimensions of certain incommensurably constructed sets.
Veerman, J.J.P., Stošić, B.D. (2000)
Experimental Mathematics
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Separation conditions on controlled Moran constructions
Antti Käenmäki, Markku Vilppolainen (2008)
Fundamenta Mathematicae
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It is well known that the open set condition and the positivity of the t-dimensional Hausdorff measure are equivalent on self-similar sets, where t is the zero of the topological pressure. We prove an analogous result for a class of Moran constructions and we study different kinds of Moran constructions in this respect.