k-Homogeneous Groups.
William M. Kantor (1972)
Mathematische Zeitschrift
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Displaying similar documents to “Autormorphism groups of countable highly homogeneous partially ordererd sets.”
k-Homogeneous Groups.
4-Homogeneous Groups.
William M. Kantor (1968)
Mathematische Zeitschrift
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Correction to "4-Homogeneous Groups". Math. Z. 103, 67-68 (1968).
William M. Kantor (1969)
Mathematische Zeitschrift
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Sharply multiply homogeneous permutations groups, and rational scale types.
Dugald Macpherson (1996)
Forum mathematicum
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On countable dense and strong n-homogeneity
Jan van Mill (2011)
Fundamenta Mathematicae
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We prove that if a space X is countable dense homogeneous and no set of size n-1 separates it, then X is strongly n-homogeneous. Our main result is the construction of an example of a Polish space X that is strongly n-homogeneous for every n, but not countable dense homogeneous.
Countable homogeneous coloured partial orders
Susana Torrezão de Sousa, J. K. Truss
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We give a classification of all the countable homogeneous coloured partial orders. This generalizes the similar result in the monochromatic case given by Schmerl.
On Countable Dense and Strong Local Homogeneity
Jan van Mill (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We present an example of a connected, Polish, countable dense homogeneous space X that is not strongly locally homogeneous. In fact, a nontrivial homeomorphism of X is the identity on no nonempty open subset of X.
About Homogeneous Spaces and Conditions of Completeness of Spaces Относно хомогенни пространства и условия за пълнота
Arhangel’skii, Alexander, Choban, Mitrofan, Mihaylova, Ekaterina (2012)
Union of Bulgarian Mathematicians
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Александър В. Архангелски, Митрофан М. Чобан, Екатерина П. Михайлова - Въведени са понятията o-хомогенно пространство, lo-хомогенно пространство, do-хомогенно пространство и co-хомогенно пространство. Показано е, че ако lo-хомогенно пространство X има отворено подпространство, което е q-пълно, то и самото X е q-пълно. Показано е, че ако lo-хомогенно пространство X съдържа навсякъде гъсто екстремално несвързано подпространство, тогава X е екстремално несвързано. In this paper...
Closed Geodesics on Homogeneous Spaces.
Wolfgang Ziller (1976/77)
Mathematische Zeitschrift
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Infinitely Generated Subgroups of Finitely Presented Groups. Part II.
Gilbert, Cannonito, F.B. Baumslag (1980)
Mathematische Zeitschrift
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Embedding Theorems for Residually Finite Groups.
John S. Wilson (1980)
Mathematische Zeitschrift
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A countable dense homogeneous space with a dense rigid open subspace
Jan van Mill (2008)
Fundamenta Mathematicae
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We show that there is a Polish space which is countable dense homogeneous but contains a dense open rigid connected subset. This answers several questions of Fitzpatrick and Zhou.
About remainders in compactifications of homogeneous spaces
D. Basile, Angelo Bella (2009)
Commentationes Mathematicae Universitatis Carolinae
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We prove a dichotomy theorem for remainders in compactifications of homogeneous spaces: given a homogeneous space , every remainder of is either realcompact and meager or Baire. In addition we show that two other recent dichotomy theorems for remainders of topological groups due to Arhangel’skii cannot be extended to homogeneous spaces.