Some base axioms for topology involving enumerability
Aull, C. E.
Similarity:
Displaying similar documents to “Some problems and lines of investigation in general topology”
Some base axioms for topology involving enumerability
Point countable open coverings in countably compact spaces
Aquaro, G.
Similarity:
A construction of a Fréchet-Urysohn space, and some convergence concepts
Aleksander V. Arhangel'skii (2010)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Some strong versions of the Fréchet-Urysohn property are introduced and studied. We also strengthen the concept of countable tightness and generalize the notions of first-countability and countable base. A construction of a topological space is described which results, in particular, in a Tychonoff countable Fréchet-Urysohn space which is not first-countable at any point. It is shown that this space can be represented as the image of a countable metrizable space under a continuous pseudoopen...