- Tytuł:
- A functional S-dual in a strong shape category
- Autorzy:
- Bauer, Friedrich
- Powiązania:
- https://bibliotekanauki.pl/articles/1205409.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
S-duality
functional S-dual
virtual spaces
weak homotopy type
compact-open strong shape - Opis:
- In the S-category ${\got P}$ (with compact-open strong shape mappings, cf. §1, instead of continuous mappings, and arbitrary finite-dimensional separable metrizable spaces instead of finite polyhedra) there exists according to [1], [2] an S-duality. The S-dual $DX, X = (X,n) ∈ {\got P}$, turns out to be of the same weak homotopy type as an appropriately defined functional dual $\overline{(S^0)^X}$ (Corollary 4.9). Sometimes the functional object $\overline{X^Y}$ is of the same weak homotopy type as the "real" function space $X^Y$ (§5).
- Źródło:
-
Fundamenta Mathematicae; 1997, 154, 3; 261-274
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł