Souslin property in free topological groups on bicompacta
β Scribed by M. G. Tkachenko
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1983
- Tongue
- English
- Weight
- 342 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that the ΓΏnite power property is decidable for rational sets in the free group. The complexity of the construction involved in the decision procedure may be lowered to O(n 3 )where n is the cardinality of the state set of the automaton that deΓΏnes the rational set. ## RΓ esumΓ e La propri
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 β 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