A connected locally connected countable space which is almost regular
Stephanie M. Boyles, Gerhard X. Ritter (1982)
Colloquium Mathematicae
Similarity:
Stephanie M. Boyles, Gerhard X. Ritter (1982)
Colloquium Mathematicae
Similarity:
Tzannes, V. (1991)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Tzannes, V. (1998)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Stephen Watson, Petr Simon (1992)
Fundamenta Mathematicae
Similarity:
We construct a completely regular space which is connected, locally connected and countable dense homogeneous but not strongly locally homogeneous. The space has an open subset which has a unique cut-point. We use the construction of a -diffeomorphism of the plane which takes one countable dense set to another.
F. B. Jones, A. H. Stone (1971)
Colloquium Mathematicae
Similarity:
Eldon J. Vought (1973)
Colloquium Mathematicae
Similarity:
V. Kannan, M. Rajagopalan (1974)
Colloquium Mathematicae
Similarity:
S. Iliadis, S. Zafiridou (1992)
Fundamenta Mathematicae
Similarity:
We prove that in some families of planar rational compacta there are no universal elements.
Mihail G. Tkachenko, Vladimir Vladimirovich Tkachuk, Vladimir Vladimirovich Uspenskij, Richard Gordon Wilson (1996)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We study when a topological space has a weaker connected topology. Various sufficient and necessary conditions are given for a space to have a weaker Hausdorff or regular connected topology. It is proved that the property of a space of having a weaker Tychonoff topology is preserved by any of the free topological group functors. Examples are given for non-preservation of this property by “nice” continuous mappings. The requirement that a space have a weaker Tychonoff connected topology...
Foland, N., Nevin, B., Pedersen, F. (1977)
Portugaliae mathematica
Similarity: