Geodesic
On Countable Dense and n-homogeneity
Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 860-869

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DOI

We prove that a connected, countable dense homogeneous space is $n$ -homogeneous for every n, and strongly 2-homogeneous provided it is locally connected. We also present an example of a connected and countable dense homogeneous space which is not strongly 2-homogeneous. This answers in the negative Problem 136 ofWatson in the Open Problems in Topology Book.
DOI : 10.4153/CMB-2011-201-0
Mots-clés : 54H15, 54C10, 54F05, countable dense homogeneous, connected, n-homogeneous, strongly n-homogeneous, counterexample 
Mill, Jan van. On Countable Dense and n-homogeneity. Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 860-869. doi: 10.4153/CMB-2011-201-0
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     title = {On {Countable} {Dense} and n-homogeneity},
     journal = {Canadian mathematical bulletin},
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     year = {2013},
     volume = {56},
     number = {4},
     doi = {10.4153/CMB-2011-201-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-201-0/}
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