𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Metrization and stratification of squares of topological spaces

✍ Scribed by H.H. Hung

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
384 KB
Volume
82
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis

Various separation properties, from normality to monotone normality to proto-metrizability, are presented on the common framework of neighbourhood assignments. Two hybrid separation properties, incorporating features from all of them, but in weak concentrations, are defined and shown to be equivalent to metrizability and stratifiability for squares of Hausdorff spaces with embeddings of w + 1. 0 1998 Elsevier Science B.V.

πŸ“œ SIMILAR VOLUMES

Metrization of Fpp-spaces
Metrization of Fpp-spaces
✍ H.R. Bennett πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 239 KB
Free topological groups on metrizable sp
Free topological groups on metrizable spaces and inductive limits
✍ Vladimir Pestov; Kohzo Yamada πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 107 KB

We prove that for a metrizable space X the following are equivalent: (i) the free Abelian topological group A(X) is the inductive limit of the sequence {A n (X): n ∈ N}, where A n (X) is formed by all words of reduced length n; (ii) X is locally compact and the set of all non-isolated points of X is

Connectifications of metrizable spaces
Connectifications of metrizable spaces
✍ Gary Gruenhage; John Kulesza; Attilio Le Donne πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 600 KB

We answer a question of Alas, TkaEenko, Tkachuk, and Wilson by constructing a metrizable space with no compact open subsets which cannot be densely embedded in a connected metrizable (or even perfectly normal) space. We also obtain a result that implies that every nowhere locally compact metrizable