𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On biradial topological spaces and groups

✍ Scribed by A.V. Arhangel'skiǐ

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
491 KB
Volume
36
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Free topological groups on metrizable sp
Free topological groups on metrizable spaces and inductive limits
✍ Vladimir Pestov; Kohzo Yamada 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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

Bounded sets in spaces and topological g
Bounded sets in spaces and topological groups
✍ Salvador Hernández; Manuel Sanchis; Michael Tkačenko 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 205 KB

We investigate C-compact and relatively pseudocompact subsets of Tychonoff spaces with a special emphasis given to subsets of topological groups. It is shown that a relatively pseudocompact subset of a space X is C-compact in X, but not vice versa. If, however, X is a topological group, then these p

Free topological groups of spaces and th
Free topological groups of spaces and their subspaces
✍ Ol'ga V. Sipacheva 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 266 KB

We prove that if X is a Tychonoff topological space, Y a subspace of X, and every bounded continuous pseudometric on Y can be extended to a continuous pseudometric on X, then the free topological group F M (Y ) coincides with the topological subgroup of F M (X) generated by Y . For this purpose, a n

Embeddings of biuniform spaces into topo
Embeddings of biuniform spaces into topological groups
✍ Michael G. Tkačenko 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 525 KB

Given a completely regular space X with two uniformities b/I and/-/r both generating the original topology of X, we consider the question wbeth~ there exists a Hausdofff topological group G comaining X as a subspace such that \*Vlx = b/~ and V\* Ix = b/r, where \*~ and ~;\* are respectively the left