Two countable Hausdorff almost regular spaces every continuous map of which into every Urysohn space is constant.
Tzannes, V. (1991)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Displaying similar documents to “Three countable connected spaces”
Two countable Hausdorff almost regular spaces every continuous map of which into every Urysohn space is constant.
Countable locally connected Urysohn spaces
F. B. Jones, A. H. Stone (1971)
Colloquium Mathematicae
Similarity:
On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets is connected.
Tzannes, V. (1998)
International Journal of Mathematics and Mathematical Sciences
Similarity:
A Property Between Compact and Strongly Countably Compact
Dušan Milovančević (1985)
Publications de l'Institut Mathématique
Similarity:
Tychonoff spaces that have a compactification with countable remainder
Henriksen, Melvin
Similarity:
On countable locally connected spaces
V. Kannan, M. Rajagopalan (1974)
Colloquium Mathematicae
Similarity:
Vietoris topology on spaces dominated by second countable ones
Carlos Islas, Daniel Jardon (2015)
Open Mathematics
Similarity:
For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = FK : K ∈ C(M) ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂ FL for any K;L ∈ C(M). A space X is strongly dominated by a space M if there exists an M-ordered compact cover F such that for any compact K ⊂ X there is F ∈ F such that K ⊂ F . Let K(X) D C(X){Øbe the set of all nonempty compact subsets...
A note on countable connected locally connected Urysohn almost regular spaces
V. Tzannes (1991)
Colloquium Mathematicae
Similarity:
A note on countable dense homogeneity
Ben Fitzpatrick (1972)
Fundamenta Mathematicae
Similarity:
A note on the extent of two subclasses of star countable spaces
Zuoming Yu (2012)
Open Mathematics
Similarity:
We prove that every Tychonoff strongly monotonically monolithic star countable space is Lindelöf, which solves a question posed by O.T. Alas et al. We also use this result to generalize a metrization theorem for strongly monotonically monolithic spaces. At the end of this paper, we study the extent of star countable spaces with k-in-countable bases, k ∈ ℤ.