Abstract. Let A denote the Alexandroff-Urysohn double arrow space. We prove the following results: (a) A×ω2 is not countable dense homogeneous; (b) ωA is not countable dense homogeneous; (c) A has exactly c types of countable dense subsets. These results answer questions by Arhangel’skĭı, Hrušák and van Mill. 1
We show that there is a Polish space which is countable dense homogeneous but contains a dense open ...
We show that there is a Polish space which is countable dense homogeneous but contains a dense open ...
summary:We construct an example of a homogeneous space which is of point-countable but not of counta...
We construct a homogeneous subspace of 2ω whose complement is dense in 2ω and rigid. Using the same ...
Dimension Theory, page 44) that the Euclidean-space En enjoys the property that if A and B are count...
Abstract. We show that all sufficiently nice λ-sets are countable dense homogeneous (CDH). From this...
We investigate which definable separable metric spaces are count-able dense homogeneous (CDH). We pr...
We prove that if a space X is countable dense homogeneous and no set of size n - 1 separates it, the...
AbstractAll countable dense homogeneous spaces and all densely homogeneous spaces satisfy the T1- se...
AbstractConditions are given that ensure that certain open subsets of countable dense homogeneous sp...
Spaces such as the closed interval [0, 1] do not have the property of being homogeneous, strongly lo...
AbstractBuilding on work of Terada, we prove that h-homogeneity is productive in the class of zero-d...
A linear space S is d-homogeneous if, whenever the linear structures induced on two subsets S 1 and ...
summary:We prove that it is independent of ZFC whether every Hausdorff countable space of weight les...
dense homogeneous spaces. The study was continued by B. Fitzpatrick [3], P. Fletcher and R.A. Mc Coy...
We show that there is a Polish space which is countable dense homogeneous but contains a dense open ...
We show that there is a Polish space which is countable dense homogeneous but contains a dense open ...
summary:We construct an example of a homogeneous space which is of point-countable but not of counta...
We construct a homogeneous subspace of 2ω whose complement is dense in 2ω and rigid. Using the same ...
Dimension Theory, page 44) that the Euclidean-space En enjoys the property that if A and B are count...
Abstract. We show that all sufficiently nice λ-sets are countable dense homogeneous (CDH). From this...
We investigate which definable separable metric spaces are count-able dense homogeneous (CDH). We pr...
We prove that if a space X is countable dense homogeneous and no set of size n - 1 separates it, the...
AbstractAll countable dense homogeneous spaces and all densely homogeneous spaces satisfy the T1- se...
AbstractConditions are given that ensure that certain open subsets of countable dense homogeneous sp...
Spaces such as the closed interval [0, 1] do not have the property of being homogeneous, strongly lo...
AbstractBuilding on work of Terada, we prove that h-homogeneity is productive in the class of zero-d...
A linear space S is d-homogeneous if, whenever the linear structures induced on two subsets S 1 and ...
summary:We prove that it is independent of ZFC whether every Hausdorff countable space of weight les...
dense homogeneous spaces. The study was continued by B. Fitzpatrick [3], P. Fletcher and R.A. Mc Coy...
We show that there is a Polish space which is countable dense homogeneous but contains a dense open ...
We show that there is a Polish space which is countable dense homogeneous but contains a dense open ...
summary:We construct an example of a homogeneous space which is of point-countable but not of counta...
Add to ORKG