- Tytuł:
- A relatively free topological group that is not varietal free
- Autorzy:
-
Pestov, Vladimir
Shakhmatov, Dmitri - Powiązania:
- https://bibliotekanauki.pl/articles/966051.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
relatively free topological group
variety of topological groups
free zero-dimensional topological group
varietal free topological group - Opis:
- Answering a 1982 question of Sidney A. Morris, we construct a topological group G and a subspace X such that (i) G is algebraically free over X, (ii) G is relatively free over X, that is, every continuous mapping from X to G extends to a unique continuous endomorphism of G, and (iii) G is not a varietal free topological group on X in any variety of topological groups.
- Źródło:
-
Colloquium Mathematicum; 1998, 77, 1; 1-8
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł